Search a number
-
+
10144508120520 = 2335247463341617
BaseRepresentation
bin1001001110011111001111…
…0011011000110111001000
31022220210202012202101100020
42103213303303120313020
52312201423034324040
633324153411340440
72064626240165154
oct223476363306710
938823665671306
1010144508120520
1132612974048a4
12117a0a72b1720
135878139a8247
14270dd537c064
15128d36808cd0
hex939f3cd8dc8

10144508120520 has 64 divisors (see below), whose sum is σ = 30433736430720. Its totient is φ = 2705183314944.

The previous prime is 10144508120491. The next prime is 10144508120569. The reversal of 10144508120520 is 2502180544101.

It is a super-2 number, since 2×101445081205202 (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, 29524752 + ... + 29866368.

It is an arithmetic number, because the mean of its divisors is an integer number (475527131730).

Almost surely, 210144508120520 is an apocalyptic number.

10144508120520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10144508120520 is an abundant number, since it is smaller than the sum of its proper divisors (20289228310200).

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

10144508120520 is a wasteful number, since it uses less digits than its factorization.

10144508120520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589094 (or 589090 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 33.

Adding to 10144508120520 its reverse (2502180544101), we get a palindrome (12646688664621).

The spelling of 10144508120520 in words is "ten trillion, one hundred forty-four billion, five hundred eight million, one hundred twenty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 247463 341617 494926 683234 742389 989852 1024851 1237315 1366468 1484778 1708085 1979704 2049702 2474630 2732936 2969556 3416170 3711945 4099404 4949260 5124255 5939112 6832340 7423890 8198808 9898520 10248510 13664680 14847780 20497020 29695560 40994040 84537567671 169075135342 253612703013 338150270684 422687838355 507225406026 676300541368 845375676710 1014450812052 1268063515065 1690751353420 2028901624104 2536127030130 3381502706840 5072254060260 10144508120520