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234245101542432 = 2533765947382191
BaseRepresentation
bin110101010000101101110000…
…000100010101110000100000
31010201101121112212210221120120
4311100231300010111300200
5221200332431443324212
62150110414123240240
7100224435661530411
oct6520556004256040
91121347485727516
10234245101542432
1168701876077582
122233232a679080
13a0922ab78a726
1441bb748333808
151c133bca9288c
hexd50b70115c20

234245101542432 has 48 divisors (see below), whose sum is σ = 631512131870592. Its totient is φ = 75971384282880.

The previous prime is 234245101542407. The next prime is 234245101542449.

234245101542432 is nontrivially palindromic in base 10.

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

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, 32973687544 + ... + 32973694647.

It is an arithmetic number, because the mean of its divisors is an integer number (13156502747304).

Almost surely, 2234245101542432 is an apocalyptic number.

It is an amenable number.

234245101542432 is an abundant number, since it is smaller than the sum of its proper divisors (397267030328160).

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

234245101542432 is a wasteful number, since it uses less digits than its factorization.

234245101542432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65947382241 (or 65947382233 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 42.

It can be divided in two parts, 23424510 and 1542432, that added together give a palindrome (24966942).

The spelling of 234245101542432 in words is "two hundred thirty-four trillion, two hundred forty-five billion, one hundred one million, five hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1184 1776 3552 65947382191 131894764382 197842146573 263789528764 395684293146 527579057528 791368586292 1055158115056 1582737172584 2110316230112 2440053141067 3165474345168 4880106282134 6330948690336 7320159423201 9760212564268 14640318846402 19520425128536 29280637692804 39040850257072 58561275385608 78081700514144 117122550771216 234245101542432