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23115243151104 = 283134874754063
BaseRepresentation
bin1010100000101111011111…
…10110110101111100000000
310000211210111001001102122120
411100113233312311330000
511012210004221313404
6121054555054204240
74604010162632166
oct520275766657400
9100753431042576
1023115243151104
117402135166955
122713a801b3680
13cb89b16545c0
1459cad8811236
152a1431b589d9
hex1505efdb5f00

23115243151104 has 144 divisors (see below), whose sum is σ = 66388640166912. Its totient is φ = 7097776533504.

The previous prime is 23115243151081. The next prime is 23115243151127. The reversal of 23115243151104 is 40115134251132.

It is an interprime number because it is at equal distance from previous prime (23115243151081) and next prime (23115243151127).

It is a congruent number.

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, 2485177 + ... + 7239239.

Almost surely, 223115243151104 is an apocalyptic number.

23115243151104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23115243151104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33194320083456).

23115243151104 is an abundant number, since it is smaller than the sum of its proper divisors (43273397015808).

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

23115243151104 is a wasteful number, since it uses less digits than its factorization.

23115243151104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4754582 (or 4754568 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The spelling of 23115243151104 in words is "twenty-three trillion, one hundred fifteen billion, two hundred forty-three million, one hundred fifty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 487 624 768 832 974 1248 1461 1664 1948 2496 2922 3328 3896 4992 5844 6331 7792 9984 11688 12662 15584 18993 23376 25324 31168 37986 46752 50648 62336 75972 93504 101296 124672 151944 187008 202592 303888 374016 405184 607776 810368 1215552 1620736 2431104 4754063 4862208 9508126 14262189 19016252 28524378 38032504 57048756 61802819 76065008 114097512 123605638 152130016 185408457 228195024 247211276 304260032 370816914 456390048 494422552 608520064 741633828 912780096 988845104 1217040128 1483267656 1825560192 1977690208 2315228681 2966535312 3651120384 3955380416 4630457362 5933070624 6945686043 7910760832 9260914724 11866141248 13891372086 15821521664 18521829448 23732282496 27782744172 30097972853 37043658896 47464564992 55565488344 60195945706 74087317792 90293918559 111130976688 120391891412 148174635584 180587837118 222261953376 240783782824 296349271168 361175674236 444523906752 481567565648 592698542336 722351348472 889047813504 963135131296 1444702696944 1778095627008 1926270262592 2889405393888 3852540525184 5778810787776 7705081050368 11557621575552 23115243151104