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110144437140078 = 232112267745132933
BaseRepresentation
bin11001000010110100000000…
…000011001011101001101110
3112102222201001012111201202200
4121002310000003023221232
5103414101301401440303
61030131353401002330
732125446555121365
oct3102640003135156
9472881035451680
10110144437140078
1132105aa2340350
121042a8911833a6
13495c7641cb313
141d2b03a9947dc
15cb0199c573a3
hex642d000cba6e

110144437140078 has 96 divisors (see below), whose sum is σ = 260499102095232. Its totient is φ = 33356888664000.

The previous prime is 110144437139953. The next prime is 110144437140091. The reversal of 110144437140078 is 870041734441011.

It is a happy number.

110144437140078 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 4 + 4 + 437 + 140 + 0 + 78 = 666.

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 47 ways as a sum of consecutive naturals, for example, 3344484100 + ... + 3344517032.

It is an arithmetic number, because the mean of its divisors is an integer number (2713532313492).

Almost surely, 2110144437140078 is an apocalyptic number.

110144437140078 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

110144437140078 is an abundant number, since it is smaller than the sum of its proper divisors (150354664955154).

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

110144437140078 is a wasteful number, since it uses less digits than its factorization.

110144437140078 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42670 (or 42667 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 110144437140078 in words is "one hundred ten trillion, one hundred forty-four billion, four hundred thirty-seven million, one hundred forty thousand, seventy-eight".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 2267 4534 6801 7451 13602 14902 20403 22353 24937 32933 40806 44706 49874 65866 67059 74811 81961 98799 134118 149622 163922 197598 224433 245883 296397 362263 448866 491766 592794 724526 737649 1086789 1475298 2173578 3260367 6520734 16891417 33782834 50674251 74659111 101348502 149318222 152022753 185805587 223977333 245383783 304045506 371611174 447954666 490767566 557416761 671931999 736151349 821250221 1114833522 1343863998 1472302698 1642500442 1672250283 2208454047 2463750663 2699221613 3344500566 4416908094 4927501326 5398443226 7391251989 8097664839 14782503978 16195329678 24292994517 48585989034 556285036061 1112570072122 1668855108183 3337710216366 5006565324549 6119135396671 10013130649098 12238270793342 18357406190013 36714812380026 55072218570039 110144437140078