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20401152140214 = 23216329328798243
BaseRepresentation
bin1001010001110000000110…
…11011010010001110110110
32200020022221100222122220100
410220320003123102032312
510133223024421441324
6111220054312414530
74203635365656156
oct450700333221666
980208840878810
1020401152140214
11655609758742a
122355a686a7446
13b4ca8852a341
145075c7452766
15255a329b44c9
hex128e036d23b6

20401152140214 has 96 divisors (see below), whose sum is σ = 44646380513280. Its totient is φ = 6732440380224.

The previous prime is 20401152140153. The next prime is 20401152140263. The reversal of 20401152140214 is 41204125110402.

20401152140214 is a `hidden beast` number, since 2 + 0 + 401 + 1 + 5 + 2 + 1 + 40 + 214 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2474962777 + ... + 2474971019.

It is an arithmetic number, because the mean of its divisors is an integer number (465066463680).

Almost surely, 220401152140214 is an apocalyptic number.

20401152140214 is an abundant number, since it is smaller than the sum of its proper divisors (24245228373066).

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

20401152140214 is a wasteful number, since it uses less digits than its factorization.

20401152140214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11586 (or 11583 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 20401152140214 its reverse (41204125110402), we get a palindrome (61605277250616).

The spelling of 20401152140214 in words is "twenty trillion, four hundred one billion, one hundred fifty-two million, one hundred forty thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 163 293 326 489 586 879 978 1467 1758 2637 2879 2934 5274 5758 8243 8637 16486 17274 24729 25911 47759 49458 51822 74187 95518 143277 148374 286554 429831 469277 843547 859662 938554 1343609 1407831 1687094 2415199 2530641 2687218 2815662 4030827 4223493 4830398 5061282 7245597 7591923 8061654 8446986 12092481 14491194 15183846 21736791 23731597 24184962 43473582 47463194 71194791 137498161 142389582 213584373 274996322 393677437 412494483 427168746 787354874 824988966 1181032311 1237483449 2362064622 2474966898 3543096933 3868250311 6953357921 7086193866 7736500622 11604750933 13906715842 20860073763 23209501866 34814252799 41720147526 62580221289 69628505598 125160442578 1133397341123 2266794682246 3400192023369 6800384046738 10200576070107 20401152140214