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141597392384 = 297192109441
BaseRepresentation
bin1000001111011111011…
…1001011111000000000
3111112111011110211011002
42003313313023320000
54304442413024014
6145014323311132
713141625655650
oct2036767137000
9445434424132
10141597392384
1155062044738
122353881b4a8
13104777c3ba6
146bd3844360
153a3b0a7dde
hex20f7dcbe00

141597392384 has 120 divisors (see below), whose sum is σ = 341251537968. Its totient is φ = 57490145280.

The previous prime is 141597392371. The next prime is 141597392437. The reversal of 141597392384 is 483293795141.

It is a happy number.

141597392384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1415973923842 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1239104 + ... + 1348544.

Almost surely, 2141597392384 is an apocalyptic number.

141597392384 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141597392384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170625768984).

141597392384 is an abundant number, since it is smaller than the sum of its proper divisors (199654145584).

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

141597392384 is an equidigital number, since it uses as much as digits as its factorization.

141597392384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109504 (or 109469 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 56.

The spelling of 141597392384 in words is "one hundred forty-one billion, five hundred ninety-seven million, three hundred ninety-two thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 224 256 266 304 361 448 512 532 608 722 896 1064 1216 1444 1792 2128 2432 2527 2888 3584 4256 4864 5054 5776 8512 9728 10108 11552 17024 20216 23104 34048 40432 46208 68096 80864 92416 109441 161728 184832 218882 323456 437764 646912 766087 875528 1293824 1532174 1751056 2079379 3064348 3502112 4158758 6128696 7004224 8317516 12257392 14008448 14555653 16635032 24514784 28016896 29111306 33270064 39508201 49029568 56033792 58222612 66540128 79016402 98059136 116445224 133080256 158032804 196118272 232890448 266160512 276557407 316065608 392236544 465780896 532321024 553114814 632131216 931561792 1064642048 1106229628 1264262432 1863123584 2212459256 2528524864 3726247168 4424918512 5057049728 7452494336 8849837024 10114099456 17699674048 20228198912 35399348096 70798696192 141597392384