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10145035325460 = 2235746751723439
BaseRepresentation
bin1001001110100001001100…
…1110100001000000010100
31022220212002221210011120010
42103220103032201000110
52312204013020403320
633324322003240220
72064645301306620
oct223502316410024
938825087704503
1010145035325460
113261537a62762
12117a213979070
13587898c97029
142710453b6180
15128d67c47ae0
hex93a133a1014

10145035325460 has 96 divisors (see below), whose sum is σ = 32533629972480. Its totient is φ = 2313899722368.

The previous prime is 10145035325449. The next prime is 10145035325479. The reversal of 10145035325460 is 6452353054101.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25665580 + ... + 26057859.

It is an arithmetic number, because the mean of its divisors is an integer number (338891978880).

Almost surely, 210145035325460 is an apocalyptic number.

10145035325460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10145035325460 is an abundant number, since it is smaller than the sum of its proper divisors (22388594647020).

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

10145035325460 is a wasteful number, since it uses less digits than its factorization.

10145035325460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51723925 (or 51723923 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 39.

Adding to 10145035325460 its reverse (6452353054101), we get a palindrome (16597388379561).

The spelling of 10145035325460 in words is "ten trillion, one hundred forty-five billion, thirty-five million, three hundred twenty-five thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 467 934 1401 1868 2335 2802 3269 4670 5604 6538 7005 9340 9807 13076 14010 16345 19614 28020 32690 39228 49035 65380 98070 196140 51723439 103446878 155170317 206893756 258617195 310340634 362064073 517234390 620681268 724128146 775851585 1034468780 1086192219 1448256292 1551703170 1810320365 2172384438 3103406340 3620640730 4344768876 5430961095 7241281460 10861922190 21723844380 24154846013 48309692026 72464538039 96619384052 120774230065 144929076078 169083922091 241548460130 289858152156 338167844182 362322690195 483096920260 507251766273 676335688364 724645380390 845419610455 1014503532546 1449290760780 1690839220910 2029007065092 2536258831365 3381678441820 5072517662730 10145035325460