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144114221230430 = 251115749932295179
BaseRepresentation
bin100000110001001000110100…
…111101101010100101011110
3200220021011222212022221110012
4200301020310331222211132
5122342131411113333210
61230301054222243222
742232623514526003
oct4061106475524536
9626234885287405
10144114221230430
1141a1255291a910
12141b6375126512
136254bb34061c9
1427832462b18aa
15119db1ce64305
hex831234f6a95e

144114221230430 has 128 divisors (see below), whose sum is σ = 285504609600000. Its totient is φ = 51940904071680.

The previous prime is 144114221230423. The next prime is 144114221230453. The reversal of 144114221230430 is 34032122411441.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27826647581 + ... + 27826652759.

It is an arithmetic number, because the mean of its divisors is an integer number (2230504762500).

Almost surely, 2144114221230430 is an apocalyptic number.

144114221230430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

144114221230430 is a deficient number, since it is larger than the sum of its proper divisors (141390388369570).

144114221230430 is a wasteful number, since it uses less digits than its factorization.

144114221230430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9082.

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 144114221230430 its reverse (34032122411441), we get a palindrome (178146343641871).

The spelling of 144114221230430 in words is "one hundred forty-four trillion, one hundred fourteen billion, two hundred twenty-one million, two hundred thirty thousand, four hundred thirty".

Divisors: 1 2 5 10 11 22 55 110 157 314 499 785 998 1570 1727 2495 3229 3454 4990 5179 5489 6458 8635 10358 10978 16145 17270 25895 27445 32290 35519 51790 54890 56969 71038 78343 113938 156686 177595 284845 355190 391715 506953 569690 783430 813103 861773 1013906 1611271 1626206 1723546 2534765 2584321 3222542 4065515 4308865 5069530 5168642 5576483 8056355 8131030 8617730 8944133 11152966 12921605 16112710 16722991 17723981 17888266 25843210 27882415 28427531 33445982 35447962 44720665 55764830 56855062 83614955 88619905 89441330 142137655 167229910 177239810 183952901 252969547 284275310 367905802 405738397 505939094 811476794 919764505 1264847735 1839529010 2028691985 2529695470 2625509587 2782665017 4057383970 4463122367 5251019174 5565330034 8344772509 8926244734 13127547935 13913325085 16689545018 22315611835 26255095870 27826650170 28880605457 41723862545 44631223670 57761210914 83447725090 91792497599 144403027285 183584995198 288806054570 458962487995 917924975990 1310129283913 2620258567826 6550646419565 13101292839130 14411422123043 28822844246086 72057110615215 144114221230430