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441401311323 = 327217269321863
BaseRepresentation
bin1100110110001011001…
…00011000000001011011
31120012100000102220020200
412123011210120001123
524212442213430243
6534435453553243
743614223145400
oct6330544300133
91505300386220
10441401311323
11160219595375
12716684a5823
1332815b0b1ab
14175149042a7
15b736433ad3
hex66c591805b

441401311323 has 72 divisors (see below), whose sum is σ = 785629754208. Its totient is φ = 237293296128.

The previous prime is 441401311283. The next prime is 441401311339. The reversal of 441401311323 is 323113104144.

It is not a de Polignac number, because 441401311323 - 29 = 441401310811 is a prime.

It is not an unprimeable number, because it can be changed into a prime (441401313323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20178490 + ... + 20200352.

It is an arithmetic number, because the mean of its divisors is an integer number (10911524364).

Almost surely, 2441401311323 is an apocalyptic number.

441401311323 is a deficient number, since it is larger than the sum of its proper divisors (344228442885).

441401311323 is a wasteful number, since it uses less digits than its factorization.

441401311323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24593 (or 24583 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 441401311323 its reverse (323113104144), we get a palindrome (764514415467).

The spelling of 441401311323 in words is "four hundred forty-one billion, four hundred one million, three hundred eleven thousand, three hundred twenty-three".

Divisors: 1 3 7 9 17 21 49 51 63 119 147 153 357 441 833 1071 2499 2693 7497 8079 18851 21863 24237 45781 56553 65589 131957 137343 153041 169659 196767 320467 371671 395871 412029 459123 961401 1071287 1115013 1187613 1377369 2243269 2601697 2884203 3213861 3345039 6729807 7805091 9641583 18211879 20189421 23415273 54635637 58877059 163906911 176631177 412139413 529893531 1000910003 1236418239 2884975891 3002730009 3709254717 7006370021 8654927673 9008190027 21019110063 25964783019 49044590147 63057330189 147133770441 441401311323