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4023344313144 = 23321331138659509
BaseRepresentation
bin111010100011000010000…
…000100011001100111000
3112020121221210010200100200
4322203002000203030320
51011404302121010034
612320144315402200
7563451136253112
oct72430200431470
915217853120320
104023344313144
111311321a81652
1254b901a53360
132325272cc490
14dca338583b2
156e9ca62da99
hex3a8c2023338

4023344313144 has 96 divisors (see below), whose sum is σ = 12113294793600. Its totient is φ = 1198018149120.

The previous prime is 4023344313101. The next prime is 4023344313151. The reversal of 4023344313144 is 4413134433204.

4023344313144 is a `hidden beast` number, since 4 + 0 + 2 + 334 + 4 + 3 + 1 + 314 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 4023344313099 and 4023344313108.

It is a congruent number.

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, 69300739 + ... + 69358770.

It is an arithmetic number, because the mean of its divisors is an integer number (126180154100).

Almost surely, 24023344313144 is an apocalyptic number.

It is an amenable number.

4023344313144 is an abundant number, since it is smaller than the sum of its proper divisors (8089950480456).

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

4023344313144 is a wasteful number, since it uses less digits than its factorization.

4023344313144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138659565 (or 138659558 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 4023344313144 its reverse (4413134433204), we get a palindrome (8436478746348).

The spelling of 4023344313144 in words is "four trillion, twenty-three billion, three hundred forty-four million, three hundred thirteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 31 36 39 52 62 72 78 93 104 117 124 156 186 234 248 279 312 372 403 468 558 744 806 936 1116 1209 1612 2232 2418 3224 3627 4836 7254 9672 14508 29016 138659509 277319018 415978527 554638036 831957054 1109276072 1247935581 1663914108 1802573617 2495871162 3327828216 3605147234 4298444779 4991742324 5407720851 7210294468 8596889558 9983484648 10815441702 12895334337 14420588936 16223162553 17193779116 21630883404 25790668674 32446325106 34387558232 38686003011 43261766808 51581337348 55879782127 64892650212 77372006022 103162674696 111759564254 129785300424 154744012044 167639346381 223519128508 309488024088 335278692762 447038257016 502918039143 670557385524 1005836078286 1341114771048 2011672156572 4023344313144