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117094014480 = 24352415473701
BaseRepresentation
bin110110100001101011…
…0001101111000010000
3102012020111001020210010
41231003112031320100
53404302031430410
6125443043034520
711313461462262
oct1550326157020
9365214036703
10117094014480
11457285781a3
121a83a66ba40
13b07112c101
14594b413b32
1530a4cd2c20
hex1b4358de10

117094014480 has 160 divisors (see below), whose sum is σ = 365262657408. Its totient is φ = 31030272000.

The previous prime is 117094014413. The next prime is 117094014487. The reversal of 117094014480 is 84410490711.

It is a super-2 number, since 2×1170940144802 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (117094014487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31636630 + ... + 31640330.

Almost surely, 2117094014480 is an apocalyptic number.

117094014480 is a gapful number since it is divisible by the number (10) 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 117094014480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182631328704).

117094014480 is an abundant number, since it is smaller than the sum of its proper divisors (248168642928).

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

117094014480 is a wasteful number, since it uses less digits than its factorization.

117094014480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4505 (or 4499 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The spelling of 117094014480 in words is "one hundred seventeen billion, ninety-four million, fourteen thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 241 482 547 723 964 1094 1205 1446 1641 1928 2188 2410 2735 2892 3282 3615 3701 3856 4376 4820 5470 5784 6564 7230 7402 8205 8752 9640 10940 11103 11568 13128 14460 14804 16410 18505 19280 21880 22206 26256 28920 29608 32820 37010 43760 44412 55515 57840 59216 65640 74020 88824 111030 131280 131827 148040 177648 222060 263654 296080 395481 444120 527308 659135 790962 888240 891941 1054616 1318270 1581924 1783882 1977405 2024447 2109232 2636540 2675823 3163848 3567764 3954810 4048894 4459705 5273080 5351646 6073341 6327696 7135528 7909620 8097788 8919410 10122235 10546160 10703292 12146682 13379115 14271056 15819240 16195576 17838820 20244470 21406584 24293364 26758230 30366705 31638480 32391152 35677640 40488940 42813168 48586728 53516460 60733410 71355280 80977880 97173456 107032920 121466820 161955760 214065840 242933640 485867280 487891727 975783454 1463675181 1951566908 2439458635 2927350362 3903133816 4878917270 5854700724 7318375905 7806267632 9757834540 11709401448 14636751810 19515669080 23418802896 29273503620 39031338160 58547007240 117094014480