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144130241144430 = 23254121247376379
BaseRepresentation
bin100000110001010111101111…
…110100110010011001101110
3200220022201100022121220010100
4200301113233310302121232
5122342412213213110210
61230312304012451530
742234031510536432
oct4061275764623156
9626281308556110
10144130241144430
1141a19323727362
12141b94a6179ba6
136256567342668
142783d25b489c2
15119e2595905c0
hex8315efd3266e

144130241144430 has 144 divisors (see below), whose sum is σ = 384137343429840. Its totient is φ = 37493801333760.

The previous prime is 144130241144419. The next prime is 144130241144441. The reversal of 144130241144430 is 34441142031441.

144130241144430 is a `hidden beast` number, since 1 + 4 + 41 + 3 + 0 + 2 + 41 + 144 + 430 = 666.

It is an interprime number because it is at equal distance from previous prime (144130241144419) and next prime (144130241144441).

It is a super-2 number, since 2×1441302411444302 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1887001981 + ... + 1887078359.

It is an arithmetic number, because the mean of its divisors is an integer number (2667620440485).

Almost surely, 2144130241144430 is an apocalyptic number.

144130241144430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144130241144430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192068671714920).

144130241144430 is an abundant number, since it is smaller than the sum of its proper divisors (240007102285410).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

144130241144430 is a wasteful number, since it uses less digits than its factorization.

144130241144430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88947 (or 88903 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 144130241144430 its reverse (34441142031441), we get a palindrome (178571383175871).

The spelling of 144130241144430 in words is "one hundred forty-four trillion, one hundred thirty billion, two hundred forty-one million, one hundred forty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 41 45 82 90 123 205 246 369 410 615 738 1230 1681 1845 3362 3690 5043 8405 10086 12473 15129 16810 24946 25215 30258 37419 50430 62365 74838 75645 76379 112257 124730 151290 152758 187095 224514 229137 374190 381895 458274 511393 561285 687411 763790 1022786 1122570 1145685 1374822 1534179 2291370 2556965 3068358 3131539 3437055 4602537 5113930 6263078 6874110 7670895 9205074 9394617 15341790 15657695 18789234 20967113 23012685 28183851 31315390 41934226 46025370 46973085 56367702 62901339 93946170 104835565 125802678 128393099 140919255 188704017 209671130 256786198 281838510 314506695 377408034 385179297 629013390 641965495 770358594 943520085 952675267 1155537891 1283930990 1887040170 1905350534 1925896485 2311075782 2858025801 3851792970 4763376335 5716051602 5777689455 8574077403 9526752670 11555378910 14290129005 17148154806 28580258010 39059685947 42870387015 78119371894 85740774030 117179057841 195298429735 234358115682 351537173523 390596859470 585895289205 703074347046 1171790578410 1601447123827 1757685867615 3202894247654 3515371735230 4804341371481 8007235619135 9608682742962 14413024114443 16014471238270 24021706857405 28826048228886 48043413714810 72065120572215 144130241144430