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23021413010304 = 2731723153328891
BaseRepresentation
bin1010011110000000101110…
…01001010000101110000000
310000111211021212002102002120
411033000113021100232000
511004140323212312204
6120543520252444240
74564146034613322
oct517002711205600
9100454255072076
1023021413010304
117376365528345
1226b9854779680
13cacbaa173b27
14598356d77612
1529dc8e40a6d9
hex14f017250b80

23021413010304 has 128 divisors (see below), whose sum is σ = 67562842970880. Its totient is φ = 6908386467840.

The previous prime is 23021413010293. The next prime is 23021413010317. The reversal of 23021413010304 is 40301031412032.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76514302 + ... + 76814589.

It is an arithmetic number, because the mean of its divisors is an integer number (527834710710).

Almost surely, 223021413010304 is an apocalyptic number.

23021413010304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

23021413010304 is an abundant number, since it is smaller than the sum of its proper divisors (44541429960576).

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

23021413010304 is a wasteful number, since it uses less digits than its factorization.

23021413010304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153328948 (or 153328936 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 23021413010304 its reverse (40301031412032), we get a palindrome (63322444422336).

The spelling of 23021413010304 in words is "twenty-three trillion, twenty-one billion, four hundred thirteen million, ten thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 23 24 32 34 46 48 51 64 68 69 92 96 102 128 136 138 184 192 204 272 276 368 384 391 408 544 552 736 782 816 1088 1104 1173 1472 1564 1632 2176 2208 2346 2944 3128 3264 4416 4692 6256 6528 8832 9384 12512 18768 25024 37536 50048 75072 150144 153328891 306657782 459986673 613315564 919973346 1226631128 1839946692 2453262256 2606591147 3526564493 3679893384 4906524512 5213182294 7053128986 7359786768 7819773441 9813049024 10426364588 10579693479 14106257972 14719573536 15639546882 19626098048 20852729176 21159386958 28212515944 29439147072 31279093764 41705458352 42318773916 56425031888 58878294144 59951596381 62558187528 83410916704 84637547832 112850063776 119903192762 125116375056 166821833408 169275095664 179854789143 225700127552 239806385524 250232750112 333643666816 338550191328 359709578286 451400255104 479612771048 500465500224 677100382656 719419156572 959225542096 1000931000448 1354200765312 1438838313144 1918451084192 2877676626288 3836902168384 5755353252576 7673804336768 11510706505152 23021413010304