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34031164156440 = 23351125781184967
BaseRepresentation
bin1111011110011011111110…
…11100110110101000011000
311110111100101100020122012120
413233031333130312220120
513430031311011001230
6200213411225141240
710111445654352303
oct757157734665030
9143440340218176
1034031164156440
11a930598a80710
12399757402a820
1315cb181854529
1485918d5b3b3a
153e0366bb8310
hex1ef37f736a18

34031164156440 has 64 divisors (see below), whose sum is σ = 111374719061760. Its totient is φ = 8249979189120.

The previous prime is 34031164156439. The next prime is 34031164156463. The reversal of 34031164156440 is 4465146113043.

It is a junction number, because it is equal to n+sod(n) for n = 34031164156392 and 34031164156401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12890591164 + ... + 12890593803.

It is an arithmetic number, because the mean of its divisors is an integer number (1740229985340).

Almost surely, 234031164156440 is an apocalyptic number.

34031164156440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34031164156440 is an abundant number, since it is smaller than the sum of its proper divisors (77343554905320).

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

34031164156440 is a wasteful number, since it uses less digits than its factorization.

34031164156440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25781184992 (or 25781184988 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 34031164156440 in words is "thirty-four trillion, thirty-one billion, one hundred sixty-four million, one hundred fifty-six thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 25781184967 51562369934 77343554901 103124739868 128905924835 154687109802 206249479736 257811849670 283593034637 309374219604 386717774505 515623699340 567186069274 618748439208 773435549010 850779103911 1031247398680 1134372138548 1417965173185 1546871098020 1701558207822 2268744277096 2835930346370 3093742196040 3403116415644 4253895519555 5671860692740 6806232831288 8507791039110 11343721385480 17015582078220 34031164156440