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3440403114444 = 22364128776499
BaseRepresentation
bin110010000100001000000…
…000010110100111001100
3110011220021121102112000000
4302010020000112213030
5422331421144130234
611152255510404300
7503363252651502
oct62041000264714
913156247375000
103440403114444
111107080959a4a
12476934060690
131bc5758b284a
14bc732ddc672
155e75d200899
hex321080169cc

3440403114444 has 84 divisors (see below), whose sum is σ = 9247098063000. Its totient is φ = 1118830242240.

The previous prime is 3440403114391. The next prime is 3440403114469. The reversal of 3440403114444 is 4444113040443.

3440403114444 is a `hidden beast` number, since 3 + 440 + 4 + 0 + 31 + 144 + 44 = 666.

It is a super-2 number, since 2×34404031144442 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3440403114399 and 3440403114408.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 14268694 + ... + 14507805.

It is an arithmetic number, because the mean of its divisors is an integer number (110084500750).

Almost surely, 23440403114444 is an apocalyptic number.

It is an amenable number.

3440403114444 is an abundant number, since it is smaller than the sum of its proper divisors (5806694948556).

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

3440403114444 is a wasteful number, since it uses less digits than its factorization.

3440403114444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28776562 (or 28776545 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 3440403114444 its reverse (4444113040443), we get a palindrome (7884516154887).

The spelling of 3440403114444 in words is "three trillion, four hundred forty billion, four hundred three million, one hundred fourteen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 81 82 108 123 162 164 243 246 324 369 486 492 729 738 972 1107 1458 1476 2214 2916 3321 4428 6642 9963 13284 19926 29889 39852 59778 119556 28776499 57552998 86329497 115105996 172658994 258988491 345317988 517976982 776965473 1035953964 1179836459 1553930946 2330896419 2359672918 3107861892 3539509377 4661792838 4719345836 6992689257 7079018754 9323585676 10618528131 13985378514 14158037508 20978067771 21237056262 27970757028 31855584393 41956135542 42474112524 63711168786 83912271084 95566753179 127422337572 191133506358 286700259537 382267012716 573400519074 860100778611 1146801038148 1720201557222 3440403114444