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441165314226 = 237136117973999
BaseRepresentation
bin1100110101101111000…
…00000111100010110010
31120011201120101000002110
412122313200013202302
524212001310023401
6534400223430150
743605326204250
oct6326740074262
91504646330073
10441165314226
1116010835624a
1271601455356
13327a8c5c340
14174d14315d0
15b7208689d6
hex66b78078b2

441165314226 has 128 divisors (see below), whose sum is σ = 1109928960000. Its totient is φ = 113803004160.

The previous prime is 441165314173. The next prime is 441165314257. The reversal of 441165314226 is 622413561144.

It is a super-2 number, since 2×4411653142262 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5924775 + ... + 5998773.

It is an arithmetic number, because the mean of its divisors is an integer number (8671320000).

Almost surely, 2441165314226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441165314226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554964480000).

441165314226 is an abundant number, since it is smaller than the sum of its proper divisors (668763645774).

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

441165314226 is a wasteful number, since it uses less digits than its factorization.

441165314226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74264.

The product of its digits is 138240, while the sum is 39.

The spelling of 441165314226 in words is "four hundred forty-one billion, one hundred sixty-five million, three hundred fourteen thousand, two hundred twenty-six".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 61 78 91 122 179 182 183 273 358 366 427 537 546 793 854 1074 1253 1281 1586 2327 2379 2506 2562 3759 4654 4758 5551 6981 7518 10919 11102 13962 16289 16653 21838 32578 32757 33306 48867 65514 73999 76433 97734 141947 147998 152866 221997 229299 283894 425841 443994 458598 517993 851682 961987 993629 1035986 1553979 1923974 1987258 2885961 2980887 3107958 4513939 5771922 5961774 6733909 9027878 13245821 13467818 13541817 20201727 26491642 27083634 31597573 39737463 40403454 58681207 63195146 79474926 92720747 94792719 117362414 172195673 176043621 185441494 189585438 278162241 344391346 352087242 410768449 516587019 556324482 807995081 821536898 1033174038 1205369711 1232305347 1615990162 2410739422 2423985243 2464610694 3616109133 4847970486 5655965567 7232218266 10503936053 11311931134 16967896701 21007872106 31511808159 33935793402 63023616318 73527552371 147055104742 220582657113 441165314226