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2132400042312 = 233372401351399
BaseRepresentation
bin11111000001111100111…
…100100111000101001000
321112212002121212212200220
4133001330330213011020
5234414123402323222
64311335553230040
7310026601203231
oct37017474470510
97485077785626
102132400042312
11752389261261
122a5334562320
1312611373ab87
14752cc9ca088
153a7068c4b5c
hex1f07cf27148

2132400042312 has 32 divisors (see below), whose sum is σ = 5475081192000. Its totient is φ = 691589202624.

The previous prime is 2132400042271. The next prime is 2132400042359.

It is a happy number.

2132400042312 is nontrivially palindromic in base 10.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1200674812 + ... + 1200676587.

It is an arithmetic number, because the mean of its divisors is an integer number (171096287250).

Almost surely, 22132400042312 is an apocalyptic number.

It is an amenable number.

2132400042312 is an abundant number, since it is smaller than the sum of its proper divisors (3342681149688).

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

2132400042312 is a wasteful number, since it uses less digits than its factorization.

2132400042312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2401351445 (or 2401351441 counting only the distinct ones).

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

It can be divided in two parts, 21324000 and 42312, that added together give a palindrome (21366312).

The spelling of 2132400042312 in words is "two trillion, one hundred thirty-two billion, four hundred million, forty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 296 444 888 2401351399 4802702798 7204054197 9605405596 14408108394 19210811192 28816216788 57632433576 88850001763 177700003526 266550005289 355400007052 533100010578 710800014104 1066200021156 2132400042312