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1420905724326 = 2331119131340013
BaseRepresentation
bin10100101011010100100…
…101001011100110100110
312000211121100210121221000
4110223110211023212212
5141240003331134301
63004431032534130
7204441240243444
oct24532445134646
95024540717830
101420905724326
114a866a269410
121ab46a551346
13a3cb5b3085a
144cab4cdbb94
1526e63688786
hex14ad494b9a6

1420905724326 has 128 divisors (see below), whose sum is σ = 3473804206080. Its totient is φ = 426944044800.

The previous prime is 1420905724309. The next prime is 1420905724349. The reversal of 1420905724326 is 6234275090241.

1420905724326 is a `hidden beast` number, since 1 + 4 + 209 + 0 + 5 + 7 + 2 + 432 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35491096 + ... + 35531108.

It is an arithmetic number, because the mean of its divisors is an integer number (27139095360).

Almost surely, 21420905724326 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1420905724326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1736902103040).

1420905724326 is an abundant number, since it is smaller than the sum of its proper divisors (2052898481754).

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

1420905724326 is a wasteful number, since it uses less digits than its factorization.

1420905724326 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40539 (or 40533 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 1420905724326 in words is "one trillion, four hundred twenty billion, nine hundred five million, seven hundred twenty-four thousand, three hundred twenty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 191 198 297 313 382 573 594 626 939 1146 1719 1878 2101 2817 3438 3443 4202 5157 5634 6303 6886 8451 10314 10329 12606 16902 18909 20658 30987 37818 40013 56727 59783 61974 80026 92961 113454 119566 120039 179349 185922 240078 358698 360117 440143 538047 657613 720234 880286 1076094 1080351 1315226 1320429 1614141 1972839 2160702 2640858 3228282 3945678 3961287 5918517 7642483 7922574 11837034 11883861 12524069 15284966 17755551 22927449 23767722 25048138 35511102 37572207 45854898 68782347 75144414 84067313 112716621 137564694 137764759 168134626 206347041 225433242 252201939 275529518 338149863 412694082 413294277 504403878 676299726 756605817 826588554 1239882831 1513211634 2269817451 2392097179 2479765662 3719648493 4539634902 4784194358 7176291537 7439296986 14352583074 21528874611 26313068969 43057749222 52626137938 64586623833 78939206907 129173247666 157878413814 236817620721 473635241442 710452862163 1420905724326