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3412040104320 = 27358933198937
BaseRepresentation
bin110001101001101101011…
…100000011100110000000
3110002012001221102022120120
4301221231130003212000
5421400324231314240
611131245232540240
7501340351233051
oct61515534034600
913065057368516
103412040104320
1110a6046761711
124713393b1680
131b99a5704c13
14bb202156728
155db4d180ad0
hex31a6d703980

3412040104320 has 128 divisors (see below), whose sum is σ = 10877150003040. Its totient is φ = 909770932224.

The previous prime is 3412040104313. The next prime is 3412040104321. The reversal of 3412040104320 is 234010402143.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3412040104321) 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, 17051892 + ... + 17250828.

Almost surely, 23412040104320 is an apocalyptic number.

3412040104320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3412040104320 is an abundant number, since it is smaller than the sum of its proper divisors (7465109898720).

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

3412040104320 is a wasteful number, since it uses less digits than its factorization.

3412040104320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207892 (or 207880 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 3412040104320 its reverse (234010402143), we get a palindrome (3646050506463).

The spelling of 3412040104320 in words is "three trillion, four hundred twelve billion, forty million, one hundred four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 8933 17866 26799 35732 44665 53598 71464 89330 107196 133995 142928 178660 198937 214392 267990 285856 357320 397874 428784 535980 571712 596811 714640 795748 857568 994685 1071960 1143424 1193622 1429280 1591496 1715136 1989370 2143920 2387244 2858560 2984055 3182992 3430272 3978740 4287840 4774488 5717120 5968110 6365984 7957480 8575680 9548976 11936220 12731968 15914960 17151360 19097952 23872440 25463936 31829920 38195904 47744880 63659840 76391808 95489760 127319680 190979520 381959040 1777104221 3554208442 5331312663 7108416884 8885521105 10662625326 14216833768 17771042210 21325250652 26656563315 28433667536 35542084420 42650501304 53313126630 56867335072 71084168840 85301002608 106626253260 113734670144 142168337680 170602005216 213252506520 227469340288 284336675360 341204010432 426505013040 568673350720 682408020864 853010026080 1137346701440 1706020052160 3412040104320