Search a number
-
+
254402111542432 = 2578912760940587
BaseRepresentation
bin111001110110000010011011…
…011111010001010010100000
31020100202121022120021212022111
4321312002123133101102200
5231321111011023324212
62301022414442445104
7104404642324542340
oct7166023337212240
91210677276255274
10254402111542432
1174073369797497
1224648a00503794
13abc50297183b9
1446b71b0d42d20
151e628b1b49ea7
hexe7609b7d14a0

254402111542432 has 48 divisors (see below), whose sum is σ = 578836265071680. Its totient is φ = 107804426070528.

The previous prime is 254402111542429. The next prime is 254402111542459. The reversal of 254402111542432 is 234245111204452.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6380450358 + ... + 6380490229.

It is an arithmetic number, because the mean of its divisors is an integer number (12059088855660).

Almost surely, 2254402111542432 is an apocalyptic number.

It is an amenable number.

254402111542432 is an abundant number, since it is smaller than the sum of its proper divisors (324434153529248).

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

254402111542432 is a wasteful number, since it uses less digits than its factorization.

254402111542432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12760940693 (or 12760940685 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 40.

Adding to 254402111542432 its reverse (234245111204452), we get a palindrome (488647222746884).

The spelling of 254402111542432 in words is "two hundred fifty-four trillion, four hundred two billion, one hundred eleven million, five hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 89 112 178 224 356 623 712 1246 1424 2492 2848 4984 9968 19936 12760940587 25521881174 51043762348 89326584109 102087524696 178653168218 204175049392 357306336436 408350098784 714612672872 1135723712243 1429225345744 2271447424486 2858450691488 4542894848972 7950065985701 9085789697944 15900131971402 18171579395888 31800263942804 36343158791776 63600527885608 127201055771216 254402111542432