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214251424404354 = 23417117016648701
BaseRepresentation
bin110000101101110001001100…
…000010110101001110000010
31001002121020101010221002220000
4300231301030002311032002
5211040243404121414404
62035401425014100430
763062104012112331
oct6055611402651602
91032536333832800
10214251424404354
11622a357860a267
122004344064a716
139271a9041650c
143ac9b77b29d18
1519b8287d6c339
hexc2dc4c0b5382

214251424404354 has 80 divisors (see below), whose sum is σ = 508365525993336. Its totient is φ = 67210378560000.

The previous prime is 214251424404343. The next prime is 214251424404373. The reversal of 214251424404354 is 453404424152412.

214251424404354 is a `hidden beast` number, since 2 + 1 + 4 + 2 + 51 + 4 + 244 + 0 + 4 + 354 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 186343712703729 + 27907711700625 = 13650777^2 + 5282775^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 28900204 + ... + 35548904.

Almost surely, 2214251424404354 is an apocalyptic number.

214251424404354 is an abundant number, since it is smaller than the sum of its proper divisors (294114101588982).

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

214251424404354 is a wasteful number, since it uses less digits than its factorization.

214251424404354 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6660433 (or 6660424 counting only the distinct ones).

The product of its (nonzero) digits is 2457600, while the sum is 45.

Adding to 214251424404354 its reverse (453404424152412), we get a palindrome (667655848556766).

The spelling of 214251424404354 in words is "two hundred fourteen trillion, two hundred fifty-one billion, four hundred twenty-four million, four hundred four thousand, three hundred fifty-four".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 306 459 918 1377 2754 11701 23402 35103 70206 105309 198917 210618 315927 397834 596751 631854 947781 1193502 1790253 1895562 3580506 5370759 6648701 10741518 13297402 16112277 19946103 32224554 39892206 59838309 113027917 119676618 179514927 226055834 339083751 359029854 538544781 678167502 1017251253 1077089562 2034502506 3051753759 6103507518 9155261277 18310522554 77796450401 155592900802 233389351203 466778702406 700168053609 1322539656817 1400336107218 2100504160827 2645079313634 3967618970451 4201008321654 6301512482481 7935237940902 11902856911353 12603024964962 23805713822706 35708570734059 71417141468118 107125712202177 214251424404354