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2140103402334 = 2322953157492707
BaseRepresentation
bin11111001001001000000…
…110100110001101011110
321120120222111010010001100
4133021020012212031132
5240030412432333314
64315052215053530
7310421520526632
oct37111006461536
97516874103040
102140103402334
1175568163a6a7
122a69243712a6
13126a7068b681
147581db16dc2
153aa07d26c09
hex1f2481a635e

2140103402334 has 96 divisors (see below), whose sum is σ = 4918428047520. Its totient is φ = 671467620096.

The previous prime is 2140103402329. The next prime is 2140103402351. The reversal of 2140103402334 is 4332043010412.

2140103402334 is a `hidden beast` number, since 21 + 401 + 0 + 3 + 4 + 0 + 233 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2140103402298 and 2140103402307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4097209 + ... + 4589915.

It is an arithmetic number, because the mean of its divisors is an integer number (51233625495).

Almost surely, 22140103402334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2140103402334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2459214023760).

2140103402334 is an abundant number, since it is smaller than the sum of its proper divisors (2778324645186).

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

2140103402334 is a wasteful number, since it uses less digits than its factorization.

2140103402334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492954 (or 492951 counting only the distinct ones).

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

Adding to 2140103402334 its reverse (4332043010412), we get a palindrome (6472146412746).

The spelling of 2140103402334 in words is "two trillion, one hundred forty billion, one hundred three million, four hundred two thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 29 53 58 87 106 157 159 174 261 314 318 471 477 522 942 954 1413 1537 2826 3074 4553 4611 8321 9106 9222 13659 13833 16642 24963 27318 27666 40977 49926 74889 81954 149778 241309 482618 492707 723927 985414 1447854 1478121 2171781 2956242 4343562 4434363 8868726 14288503 26113471 28577006 42865509 52226942 77354999 78340413 85731018 128596527 154709998 156680826 232064997 235021239 257193054 464129994 470042478 696194991 757290659 1392389982 1514581318 2243294971 2271871977 4099814947 4486589942 4543743954 6729884913 6815615931 8199629894 12299444841 13459769826 13631231862 20189654739 24598889682 36898334523 40379309478 73796669046 118894633463 237789266926 356683900389 713367800778 1070051701167 2140103402334