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144289111358016 = 2633233358371859
BaseRepresentation
bin100000110011101011101101…
…001110100011101001000000
3200220212220102020221221112000
4200303223231032203221000
5122403013100001424031
61230513300324504000
742251354455220622
oct4063535516435100
9626786366857460
10144289111358016
1141a7a739830239
121422424354b000
1362685354cc8c1
14278b8b75a8c12
1511a3456c613e6
hex833aed3a3a40

144289111358016 has 112 divisors (see below), whose sum is σ = 426003797419200. Its totient is φ = 47889948128256.

The previous prime is 144289111358009. The next prime is 144289111358033. The reversal of 144289111358016 is 610853111982441.

It is a happy number.

144289111358016 is a `hidden beast` number, since 1 + 4 + 4 + 28 + 9 + 11 + 13 + 580 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178783306 + ... + 179588553.

It is an arithmetic number, because the mean of its divisors is an integer number (3803605334100).

Almost surely, 2144289111358016 is an apocalyptic number.

144289111358016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

144289111358016 is an abundant number, since it is smaller than the sum of its proper divisors (281714686061184).

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

144289111358016 is a wasteful number, since it uses less digits than its factorization.

144289111358016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358372113 (or 358372097 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 144289111358016 in words is "one hundred forty-four trillion, two hundred eighty-nine billion, one hundred eleven million, three hundred fifty-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 233 288 432 466 576 699 864 932 1398 1728 1864 2097 2796 3728 4194 5592 6291 7456 8388 11184 12582 14912 16776 22368 25164 33552 44736 50328 67104 100656 134208 201312 402624 358371859 716743718 1075115577 1433487436 2150231154 2866974872 3225346731 4300462308 5733949744 6450693462 8600924616 9676040193 11467899488 12901386924 17201849232 19352080386 22935798976 25802773848 34403698464 38704160772 51605547696 68807396928 77408321544 83500643147 103211095392 154816643088 167001286294 206422190784 250501929441 309633286176 334002572588 501003858882 619266572352 668005145176 751505788323 1002007717764 1336010290352 1503011576646 2004015435528 2254517364969 2672020580704 3006023153292 4008030871056 4509034729938 5344041161408 6012046306584 8016061742112 9018069459876 12024092613168 16032123484224 18036138919752 24048185226336 36072277839504 48096370452672 72144555679008 144289111358016