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2534024141312 = 2919439076679
BaseRepresentation
bin100100110111111111100…
…110111101101000000000
322222020202111111000200112
4210313333212331220000
5313004140140010222
65220040431410452
7351035323544606
oct44677746755000
98866674430615
102534024141312
11897745625234
1234b13b683a28
13154c5a69c031
148a90c757876
1545db0b7cbe2
hex24dff9bda00

2534024141312 has 160 divisors (see below), whose sum is σ = 5460351705600. Its totient is φ = 1170944667648.

The previous prime is 2534024141263. The next prime is 2534024141351. The reversal of 2534024141312 is 2131414204352.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 15 ways as a sum of consecutive naturals, for example, 379398389 + ... + 379405067.

It is an arithmetic number, because the mean of its divisors is an integer number (34127198160).

Almost surely, 22534024141312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2534024141312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2730175852800).

2534024141312 is an abundant number, since it is smaller than the sum of its proper divisors (2926327564288).

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

2534024141312 is an equidigital number, since it uses as much as digits as its factorization.

2534024141312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7666 (or 7650 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

Adding to 2534024141312 its reverse (2131414204352), we get a palindrome (4665438345664).

The spelling of 2534024141312 in words is "two trillion, five hundred thirty-four billion, twenty-four million, one hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 19 32 38 43 64 76 86 128 152 172 256 304 344 512 608 688 817 907 1216 1376 1634 1814 2432 2752 3268 3628 4864 5504 6536 6679 7256 9728 11008 13072 13358 14512 17233 22016 26144 26716 29024 34466 39001 52288 53432 58048 68932 78002 104576 106864 116096 126901 137864 156004 209152 213728 232192 253802 275728 287197 312008 418304 427456 464384 507604 551456 574394 624016 741019 854912 1015208 1102912 1148788 1248032 1482038 1709824 2030416 2205824 2297576 2496064 2964076 3419648 4060832 4411648 4595152 4992128 5456743 5928152 6057853 8121664 8823296 9190304 9984256 10913486 11856304 12115706 16243328 18380608 19968512 21826972 23712608 24231412 32486656 36761216 43653944 47425216 48462824 64973312 73522432 87307888 94850432 96925648 115099207 147044864 174615776 189700864 193851296 230198414 260487679 349231552 379401728 387702592 460396828 520975358 698463104 775405184 920793656 1041950716 1396926208 1550810368 1841587312 2083901432 2793852416 3101620736 3683174624 4167802864 4949265901 7366349248 8335605728 9898531802 14732698496 16671211456 19797063604 29465396992 33342422912 39594127208 58930793984 66684845824 79188254416 133369691648 158376508832 316753017664 633506035328 1267012070656 2534024141312