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144100034120430 = 232553101341298099
BaseRepresentation
bin100000110000111011100111…
…010110001000101011101110
3200220012211101010210002012200
4200300323213112020223232
5122341413332213323210
61230250350343242330
742231612115220163
oct4060734726105356
9626184333702180
10144100034120430
1141a07532643113
12141b3675a493a6
13625376210416b
14278269c01006a
15119d58c6c10c0
hex830ee7588aee

144100034120430 has 96 divisors (see below), whose sum is σ = 381734194327200. Its totient is φ = 37701145647360.

The previous prime is 144100034120429. The next prime is 144100034120473. The reversal of 144100034120430 is 34021430001441.

144100034120430 is a `hidden beast` number, since 1 + 4 + 4 + 100 + 0 + 3 + 4 + 120 + 430 = 666.

144100034120430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 144100034120394 and 144100034120403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 483247521 + ... + 483545619.

It is an arithmetic number, because the mean of its divisors is an integer number (3976397857575).

Almost surely, 2144100034120430 is an apocalyptic number.

144100034120430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

144100034120430 is an abundant number, since it is smaller than the sum of its proper divisors (237634160206770).

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

144100034120430 is a wasteful number, since it uses less digits than its factorization.

144100034120430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399506 (or 399503 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 144100034120430 its reverse (34021430001441), we get a palindrome (178121464121871).

The spelling of 144100034120430 in words is "one hundred forty-four trillion, one hundred billion, thirty-four million, one hundred twenty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 53 90 106 159 265 318 477 530 795 954 1590 2385 4770 101341 202682 298099 304023 506705 596198 608046 894297 912069 1013410 1490495 1520115 1788594 1824138 2682891 2980990 3040230 4471485 4560345 5365782 5371073 8942970 9120690 10742146 13414455 15799247 16113219 26828910 26855365 31598494 32226438 47397741 48339657 53710730 78996235 80566095 94795482 96679314 142193223 157992470 161132190 236988705 241698285 284386446 473977410 483396570 710966115 1421932230 30209650759 60419301518 90628952277 151048253795 181257904554 271886856831 302096507590 453144761385 543773713662 906289522770 1359434284155 1601111490227 2718868568310 3202222980454 4803334470681 8005557451135 9606668941362 14410003412043 16011114902270 24016672353405 28820006824086 48033344706810 72050017060215 144100034120430