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3440034121032 = 23321727531020881
BaseRepresentation
bin110010000011110010000…
…000110000010101001000
3110011212022220002201012100
4302003302000300111020
5422330142213333112
611152155125513400
7503351152400115
oct62036200602510
913155286081170
103440034121032
111106a01641813
12476850572860
131bc517309452
14bc6d9dc990c
155e73ab142dc
hex320f2030548

3440034121032 has 96 divisors (see below), whose sum is σ = 9868396688280. Its totient is φ = 1078833315840.

The previous prime is 3440034121021. The next prime is 3440034121039. The reversal of 3440034121032 is 2301214300443.

3440034121032 is a `hidden beast` number, since 3 + 4 + 400 + 3 + 41 + 210 + 3 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3328749164196 + 111284956836 = 1824486^2 + 333594^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3440034120987 and 3440034121005.

It is not an unprimeable number, because it can be changed into a prime (3440034121039) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2859232 + ... + 3880112.

Almost surely, 23440034121032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3440034121032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4934198344140).

3440034121032 is an abundant number, since it is smaller than the sum of its proper divisors (6428362567248).

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

3440034121032 is a wasteful number, since it uses less digits than its factorization.

3440034121032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1023663 (or 1023656 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 3440034121032 its reverse (2301214300443), we get a palindrome (5741248421475).

The spelling of 3440034121032 in words is "three trillion, four hundred forty billion, thirty-four million, one hundred twenty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 2753 5506 8259 11012 16518 22024 24777 33036 46801 49554 66072 93602 99108 140403 187204 198216 280806 374408 421209 561612 842418 1020881 1123224 1684836 2041762 3062643 3369672 4083524 6125286 8167048 9187929 12250572 17354977 18375858 24501144 34709954 36751716 52064931 69419908 73503432 104129862 138839816 156194793 208259724 312389586 416519448 624779172 1249558344 2810485393 5620970786 8431456179 11241941572 16862912358 22483883144 25294368537 33725824716 47778251681 50588737074 67451649432 95556503362 101177474148 143334755043 191113006724 202354948296 286669510086 382226013448 430004265129 573339020172 860008530258 1146678040344 1720017060516 3440034121032