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7138356400320 = 263537200967241
BaseRepresentation
bin110011111100000011100…
…1100101001000011000000
3221021102100022221100020020
41213320013030221003000
51413423323214302240
623103152103213440
71334505061156545
oct147700714510300
927242308840206
107138356400320
1123023a6100742
12973565147280
133ca1b482a722
141a96d9460bcc
15c5a41ead0d0
hex67e073290c0

7138356400320 has 112 divisors (see below), whose sum is σ = 23276829837408. Its totient is φ = 1852114083840.

The previous prime is 7138356400289. The next prime is 7138356400367. The reversal of 7138356400320 is 230046538317.

It is a super-2 number, since 2×71383564003202 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100448101 + ... + 100519140.

It is an arithmetic number, because the mean of its divisors is an integer number (207828837834).

Almost surely, 27138356400320 is an apocalyptic number.

It is an amenable number.

7138356400320 is an abundant number, since it is smaller than the sum of its proper divisors (16138473437088).

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

7138356400320 is a wasteful number, since it uses less digits than its factorization.

7138356400320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200967298 (or 200967288 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 7138356400320 in words is "seven trillion, one hundred thirty-eight billion, three hundred fifty-six million, four hundred thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 48 60 64 74 80 96 111 120 148 160 185 192 222 240 296 320 370 444 480 555 592 740 888 960 1110 1184 1480 1776 2220 2368 2960 3552 4440 5920 7104 8880 11840 17760 35520 200967241 401934482 602901723 803868964 1004836205 1205803446 1607737928 2009672410 2411606892 3014508615 3215475856 4019344820 4823213784 6029017230 6430951712 7435787917 8038689640 9646427568 12058034460 12861903424 14871575834 16077379280 19292855136 22307363751 24116068920 29743151668 32154758560 37178939585 38585710272 44614727502 48232137840 59486303336 64309517120 74357879170 89229455004 96464275680 111536818755 118972606672 148715758340 178458910008 192928551360 223073637510 237945213344 297431516680 356917820016 446147275020 475890426688 594863033360 713835640032 892294550040 1189726066720 1427671280064 1784589100080 2379452133440 3569178200160 7138356400320