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242525145142440 = 23325673680958729
BaseRepresentation
bin110111001001001101001001…
…001000000001010010101000
31011210201011210100122012220100
4313021031021020001102220
5223242012444124024230
62215450302533425400
7102040602120056166
oct6711151110012250
91153634710565810
10242525145142440
11703043778a7356
122324abb849b260
13a54303b85cb84
1443c63cb53c236
151d089801ae660
hexdc93492014a8

242525145142440 has 48 divisors (see below), whose sum is σ = 788206721714100. Its totient is φ = 64673372037888.

The previous prime is 242525145142429. The next prime is 242525145142487. The reversal of 242525145142440 is 44241541525242.

242525145142440 is a `hidden beast` number, since 2 + 4 + 2 + 5 + 2 + 514 + 51 + 42 + 4 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 242200183579524 + 324961562916 = 15562782^2 + 570054^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 336840479005 + ... + 336840479724.

Almost surely, 2242525145142440 is an apocalyptic number.

242525145142440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242525145142440 is an abundant number, since it is smaller than the sum of its proper divisors (545681576571660).

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

242525145142440 is a wasteful number, since it uses less digits than its factorization.

242525145142440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673680958746 (or 673680958739 counting only the distinct ones).

The product of its (nonzero) digits is 2048000, while the sum is 45.

Adding to 242525145142440 its reverse (44241541525242), we get a palindrome (286766686667682).

The spelling of 242525145142440 in words is "two hundred forty-two trillion, five hundred twenty-five billion, one hundred forty-five million, one hundred forty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 673680958729 1347361917458 2021042876187 2694723834916 3368404793645 4042085752374 5389447669832 6063128628561 6736809587290 8084171504748 10105214380935 12126257257122 13473619174580 16168343009496 20210428761870 24252514514244 26947238349160 30315643142805 40420857523740 48505029028488 60631286285610 80841715047480 121262572571220 242525145142440