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41211422411214 = 23113894793351109
BaseRepresentation
bin10010101111011010010000…
…01100011000100111001110
312101220202212212220201210010
421113231020030120213032
520400201443114124324
6223352133250454050
711452266315455136
oct1127551014304716
9171822785821703
1041211422411214
1112149736631830
124757071b94326
1319cc2b3467173
14a26901a2dac6
154b700c5d5829
hex257b483189ce

41211422411214 has 64 divisors (see below), whose sum is σ = 90335202048000. Its totient is φ = 12430197882240.

The previous prime is 41211422411183. The next prime is 41211422411251.

It is a happy number.

41211422411214 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10622292 + ... + 13973400.

It is an arithmetic number, because the mean of its divisors is an integer number (1411487532000).

Almost surely, 241211422411214 is an apocalyptic number.

41211422411214 is an abundant number, since it is smaller than the sum of its proper divisors (49123779636786).

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

41211422411214 is a wasteful number, since it uses less digits than its factorization.

41211422411214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3351993.

The product of its digits is 4096, while the sum is 30.

It can be divided in two parts, 4121142 and 2411214, that added together give a palindrome (6532356).

The spelling of 41211422411214 in words is "forty-one trillion, two hundred eleven billion, four hundred twenty-two million, four hundred eleven thousand, two hundred fourteen".

Divisors: 1 2 3 6 11 22 33 66 389 479 778 958 1167 1437 2334 2874 4279 5269 8558 10538 12837 15807 25674 31614 186331 372662 558993 1117986 2049641 3351109 4099282 6148923 6702218 10053327 12297846 20106654 36862199 73724398 110586597 221173194 1303581401 1605181211 2607162802 3210362422 3910744203 4815543633 7821488406 9631087266 14339395411 17656993321 28678790822 35313986642 43018186233 52970979963 86036372466 105941959926 624415491079 1248830982158 1873246473237 3746492946474 6868570401869 13737140803738 20605711205607 41211422411214