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144042042214044 = 223313127807827143
BaseRepresentation
bin100000110000000101100110…
…110000100100011010011100
3200220000021200120210000001000
4200300011212300210122130
5122334441100301322134
61230204000051350300
742224460041153622
oct4060054660443234
9626007616700030
10144042042214044
1141994983730557
12141a43905b2390
13624b14c6c6260
14277d95a121512
15119bce63cde99
hex830166c2469c

144042042214044 has 96 divisors (see below), whose sum is σ = 405335347773440. Its totient is φ = 43971646993344.

The previous prime is 144042042214033. The next prime is 144042042214079. The reversal of 144042042214044 is 440412240240441.

144042042214044 is a `hidden beast` number, since 1 + 4 + 4 + 0 + 4 + 20 + 4 + 221 + 404 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 403735264 + ... + 404091879.

Almost surely, 2144042042214044 is an apocalyptic number.

It is an amenable number.

144042042214044 is an abundant number, since it is smaller than the sum of its proper divisors (261293305559396).

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

144042042214044 is a wasteful number, since it uses less digits than its factorization.

144042042214044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807827296 (or 807827288 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 36.

Adding to 144042042214044 its reverse (440412240240441), we get a palindrome (584454282454485).

The spelling of 144042042214044 in words is "one hundred forty-four trillion, forty-two billion, forty-two million, two hundred fourteen thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 127 156 234 254 351 381 468 508 702 762 1143 1404 1524 1651 2286 3302 3429 4572 4953 6604 6858 9906 13716 14859 19812 29718 44577 59436 89154 178308 807827143 1615654286 2423481429 3231308572 4846962858 7270444287 9693925716 10501752859 14540888574 21003505718 21811332861 29081777148 31505258577 42007011436 43622665722 63010517154 87245331444 94515775731 102594047161 126021034308 189031551462 205188094322 283547327193 307782141483 378063102924 410376188644 567094654386 615564282966 923346424449 1134189308772 1231128565932 1333722613093 1846692848898 2667445226186 2770039273347 3693385697796 4001167839279 5334890452372 5540078546694 8002335678558 11080157093388 12003503517837 16004671357116 24007007035674 36010510553511 48014014071348 72021021107022 144042042214044