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440053311613136 = 241323128097181231
BaseRepresentation
bin110010000001110011110010…
…1010100100010100011010000
32010201002200111220101200021112
41210003213211110202203100
5430134313140233110021
64155525411152112452
7161455542201152534
oct14403474524424320
92121080456350245
10440053311613136
1111823a61a26a781
1241431343835728
1315b70b069a2420
147a949a01b3bc4
1535d1be32d8d5b
hex19039e55228d0

440053311613136 has 80 divisors (see below), whose sum is σ = 958184317278720. Its totient is φ = 194255833390080.

The previous prime is 440053311613133. The next prime is 440053311613163. The reversal of 440053311613136 is 631316113350044.

It is a junction number, because it is equal to n+sod(n) for n = 440053311613093 and 440053311613102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440053311613133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57687641 + ... + 64868871.

It is an arithmetic number, because the mean of its divisors is an integer number (11977303965984).

Almost surely, 2440053311613136 is an apocalyptic number.

440053311613136 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

440053311613136 is an abundant number, since it is smaller than the sum of its proper divisors (518131005665584).

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

440053311613136 is a wasteful number, since it uses less digits than its factorization.

440053311613136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7194084 (or 7194078 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 41.

The spelling of 440053311613136 in words is "four hundred forty trillion, fifty-three billion, three hundred eleven million, six hundred thirteen thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 16 23 26 46 52 92 104 184 208 299 368 598 1196 2392 4784 12809 25618 51236 102472 166517 204944 294607 333034 589214 666068 1178428 1332136 2356856 2664272 3829891 4713712 7181231 7659782 14362462 15319564 28724924 30639128 57449848 61278256 93356003 114899696 165168313 186712006 330336626 373424012 660673252 746848024 1321346504 1493696048 2147188069 2642693008 4294376138 8588752276 17177504552 34355009104 91984387879 183968775758 367937551516 735875103032 1195797042427 1471750206064 2115640921217 2391594084854 4231281842434 4783188169708 8462563684868 9566376339416 16925127369736 19132752678832 27503331975821 33850254739472 55006663951642 110013327903284 220026655806568 440053311613136