Search a number
-
+
103115106614432 = 25114125727801143
BaseRepresentation
bin10111011100100001011011…
…010011001111110010100000
3111112002201010001222200011202
4113130201123103033302200
5102003414214243130212
61003150232004300332
730501551316365453
oct2734413323176240
9445081101880152
10103115106614432
112a945964529a70
12b6944946a16a8
13456c93611c993
141b66b251c349a
15bdc3d95c20c2
hex5dc85b4cfca0

103115106614432 has 96 divisors (see below), whose sum is σ = 227747416466304. Its totient is φ = 45549391052800.

The previous prime is 103115106614411. The next prime is 103115106614477. The reversal of 103115106614432 is 234416601511301.

It is a super-2 number, since 2×1031151066144322 (a number of 29 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, 10191548 + ... + 17609595.

It is an arithmetic number, because the mean of its divisors is an integer number (2372368921524).

Almost surely, 2103115106614432 is an apocalyptic number.

It is an amenable number.

103115106614432 is an abundant number, since it is smaller than the sum of its proper divisors (124632309851872).

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

103115106614432 is a wasteful number, since it uses less digits than its factorization.

103115106614432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27801462 (or 27801454 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The spelling of 103115106614432 in words is "one hundred three trillion, one hundred fifteen billion, one hundred six million, six hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 41 44 82 88 164 176 257 328 352 451 514 656 902 1028 1312 1804 2056 2827 3608 4112 5654 7216 8224 10537 11308 14432 21074 22616 42148 45232 84296 90464 115907 168592 231814 337184 463628 927256 1854512 3709024 27801143 55602286 111204572 222409144 305812573 444818288 611625146 889636576 1139846863 1223250292 2279693726 2446500584 4559387452 4893001168 7144893751 9118774904 9786002336 12538315493 14289787502 18237549808 25076630986 28579575004 36475099616 50153261972 57159150008 78593831261 100306523944 114318300016 157187662522 200613047888 228636600032 292940643791 314375325044 401226095776 585881287582 628750650088 1171762575164 1257501300176 2343525150328 2515002600352 3222347081701 4687050300656 6444694163402 9374100601312 12889388326804 25778776653608 51557553307216 103115106614432