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4022114031144 = 23321143118102949
BaseRepresentation
bin111010100001111000101…
…011011001011000101000
3112020111210001010212201200
4322201320223121120220
51011344242142444034
612315422250244200
7563405510113116
oct72417053313050
915214701125650
104022114031144
111310850572570
1254b619a26660
1323238c464871
14dc9582c4ab6
156e957610a99
hex3a878ad9628

4022114031144 has 96 divisors (see below), whose sum is σ = 12159879732000. Its totient is φ = 1190477715840.

The previous prime is 4022114031109. The next prime is 4022114031151. The reversal of 4022114031144 is 4411304112204.

4022114031144 is a `hidden beast` number, since 4 + 0 + 2 + 211 + 403 + 1 + 1 + 44 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59017419 + ... + 59085530.

It is an arithmetic number, because the mean of its divisors is an integer number (126665413875).

Almost surely, 24022114031144 is an apocalyptic number.

4022114031144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4022114031144 is an abundant number, since it is smaller than the sum of its proper divisors (8137765700856).

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

4022114031144 is a wasteful number, since it uses less digits than its factorization.

4022114031144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118103015 (or 118103008 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 4022114031144 its reverse (4411304112204), we get a palindrome (8433418143348).

The spelling of 4022114031144 in words is "four trillion, twenty-two billion, one hundred fourteen million, thirty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 43 44 66 72 86 88 99 129 132 172 198 258 264 344 387 396 473 516 774 792 946 1032 1419 1548 1892 2838 3096 3784 4257 5676 8514 11352 17028 34056 118102949 236205898 354308847 472411796 708617694 944823592 1062926541 1299132439 1417235388 2125853082 2598264878 2834470776 3897397317 4251706164 5078426807 5196529756 7794794634 8503412328 10156853614 10393059512 11692191951 15235280421 15589589268 20313707228 23384383902 30470560842 31179178536 40627414456 45705841263 46768767804 55862694877 60941121684 91411682526 93537535608 111725389754 121882243368 167588084631 182823365052 223450779508 335176169262 365646730104 446901559016 502764253893 670352338524 1005528507786 1340704677048 2011057015572 4022114031144