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3412420440340 = 2254740910318609
BaseRepresentation
bin110001101010000100000…
…110111011000100010100
3110002020001110002101111211
4301222010012323010110
5421402114113042330
611131351100511204
7501352650105322
oct61520406730424
913066043071454
103412420440340
1110a62214167aa
1247142484b504
131b9a36450012
14bb23a87cd12
155db7175cd2a
hex31a841bb114

3412420440340 has 96 divisors (see below), whose sum is σ = 7344415411200. Its totient is φ = 1331212738560.

The previous prime is 3412420440307. The next prime is 3412420440343. The reversal of 3412420440340 is 430440242143.

It is a super-2 number, since 2×34124204403402 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3412420440343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 396373956 + ... + 396382564.

It is an arithmetic number, because the mean of its divisors is an integer number (76504327200).

Almost surely, 23412420440340 is an apocalyptic number.

It is an amenable number.

3412420440340 is an abundant number, since it is smaller than the sum of its proper divisors (3931994970860).

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

3412420440340 is a wasteful number, since it uses less digits than its factorization.

3412420440340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10105 (or 10103 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 31.

Adding to 3412420440340 its reverse (430440242143), we get a palindrome (3842860682483).

The spelling of 3412420440340 in words is "three trillion, four hundred twelve billion, four hundred twenty million, four hundred forty thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 47 94 188 235 409 470 818 940 1031 1636 2045 2062 4090 4124 5155 8180 8609 10310 17218 19223 20620 34436 38446 43045 48457 76892 86090 96115 96914 172180 192230 193828 242285 384460 404623 421679 484570 809246 843358 969140 1618492 1686716 2023115 2108395 3521081 4046230 4216790 7042162 8092460 8433580 8875879 14084324 17605405 17751758 19818913 35210810 35503516 39637826 44379395 70421620 79275652 88758790 99094565 165490807 177517580 198189130 330981614 396378260 417166313 661963228 827454035 834332626 1654908070 1668665252 2085831565 3309816140 3630234511 4171663130 7260469022 8343326260 14520938044 18151172555 36302345110 72604690220 170621022017 341242044034 682484088068 853105110085 1706210220170 3412420440340