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2342452542432 = 25389274163453
BaseRepresentation
bin100010000101100101000…
…011010011101111100000
322021221021112201110221120
4202011211003103233200
5301334320322324212
64552035143252240
7331144105041612
oct42054503235740
98257245643846
102342452542432
118234794355a2
12319b9674a080
1313cb7a599872
1481537bb8db2
1540dec62788c
hex221650d3be0

2342452542432 has 48 divisors (see below), whose sum is σ = 6218027136720. Its totient is φ = 772044280832.

The previous prime is 2342452542431. The next prime is 2342452542497.

2342452542432 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×23424525424322 (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 (2342452542431) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 137073183 + ... + 137090270.

It is an arithmetic number, because the mean of its divisors is an integer number (129542232015).

Almost surely, 22342452542432 is an apocalyptic number.

It is an amenable number.

2342452542432 is an abundant number, since it is smaller than the sum of its proper divisors (3875574594288).

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

2342452542432 is a wasteful number, since it uses less digits than its factorization.

2342452542432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274163555 (or 274163547 counting only the distinct ones).

The product of its digits is 1843200, while the sum is 42.

The spelling of 2342452542432 in words is "two trillion, three hundred forty-two billion, four hundred fifty-two million, five hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 89 96 178 267 356 534 712 1068 1424 2136 2848 4272 8544 274163453 548326906 822490359 1096653812 1644980718 2193307624 3289961436 4386615248 6579922872 8773230496 13159845744 24400547317 26319691488 48801094634 73201641951 97602189268 146403283902 195204378536 292806567804 390408757072 585613135608 780817514144 1171226271216 2342452542432