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23442411424432 = 2471131312096587
BaseRepresentation
bin1010101010010000111001…
…00110110000101010110000
310002000001221221212202001011
411111020130212300222300
511033040024311040212
6121505143425520304
74636441544235520
oct525103446605260
9102001857782034
1023442411424432
11751896411a000
1227673681a3094
1310107c0c90190
145b0893c79680
152a9bce53b4a7
hex15521c9b0ab0

23442411424432 has 160 divisors (see below), whose sum is σ = 61487053576704. Its totient is φ = 8430836578560.

The previous prime is 23442411424409. The next prime is 23442411424529.

23442411424432 is nontrivially palindromic in base 10.

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 31 ways as a sum of consecutive naturals, for example, 4110358 + ... + 7986229.

Almost surely, 223442411424432 is an apocalyptic number.

23442411424432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23442411424432 is an abundant number, since it is smaller than the sum of its proper divisors (38044642152272).

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

23442411424432 is a wasteful number, since it uses less digits than its factorization.

23442411424432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12096648 (or 12096620 counting only the distinct ones).

The product of its digits is 589824, while the sum is 40.

It can be divided in two parts, 2344241 and 1424432, that added together give a palindrome (3768673).

The spelling of 23442411424432 in words is "twenty-three trillion, four hundred forty-two billion, four hundred eleven million, four hundred twenty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 44 52 56 77 88 91 104 112 121 143 154 176 182 208 242 286 308 364 484 572 616 728 847 968 1001 1144 1232 1331 1456 1573 1694 1936 2002 2288 2662 3146 3388 4004 5324 6292 6776 8008 9317 10648 11011 12584 13552 16016 17303 18634 21296 22022 25168 34606 37268 44044 69212 74536 88088 121121 138424 149072 176176 242242 276848 484484 968968 1937936 12096587 24193174 48386348 84676109 96772696 133062457 157255631 169352218 193545392 266124914 314511262 338704436 532249828 629022524 677408872 931437199 1064499656 1100789417 1258045048 1354817744 1463687027 1729811941 1862874398 2128999312 2201578834 2516090096 2927374054 3459623882 3725748796 4403157668 5854748108 6919247764 7451497592 8806315336 10245809189 11709496216 12108683587 13838495528 14902995184 16100557297 17612630672 19027931351 20491618378 23418992432 24217367174 27676991056 32201114594 38055862702 40983236756 48434734348 64402229188 76111725404 81966473512 96869468696 112703901079 128804458376 133195519457 152223450808 163932947024 193738937392 209307244861 225407802158 257608916752 266391038914 304446901616 418614489722 450815604316 532782077828 837228979444 901631208632 1065564155656 1465150714027 1674457958888 1803262417264 2131128311312 2930301428054 3348915917776 5860602856108 11721205712216 23442411424432