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2342124212432 = 241720034298927
BaseRepresentation
bin100010000101010001011…
…110110101000011010000
322021220102122220120212012
4202011101132311003100
5301333132244244212
64551542414122052
7331133010220364
oct42052136650320
98256378816765
102342124212432
11823320071394
12319b047b0328
1313cb2755cc64
148150634d2a4
1540dcd8be922
hex221517b50d0

2342124212432 has 40 divisors (see below), whose sum is σ = 4807198855296. Its totient is φ = 1101625581056.

The previous prime is 2342124212413. The next prime is 2342124212479.

2342124212432 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×23421242124323 (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1604648 + ... + 2694279.

Almost surely, 22342124212432 is an apocalyptic number.

It is an amenable number.

2342124212432 is an abundant number, since it is smaller than the sum of its proper divisors (2465074642864).

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

2342124212432 is a wasteful number, since it uses less digits than its factorization.

2342124212432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4300955 (or 4300949 counting only the distinct ones).

The product of its digits is 36864, while the sum is 32.

The spelling of 2342124212432 in words is "two trillion, three hundred forty-two billion, one hundred twenty-four million, two hundred twelve thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 17 34 68 136 272 2003 4006 8012 16024 32048 34051 68102 136204 272408 544816 4298927 8597854 17195708 34391416 68782832 73081759 146163518 292327036 584654072 1169308144 8610750781 17221501562 34443003124 68886006248 137772012496 146382763277 292765526554 585531053108 1171062106216 2342124212432