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117307740144 = 24372389170557
BaseRepresentation
bin110110101000000010…
…1100000111111110000
3102012210101012122021110
41231100011200333300
53410221240141034
6125520155553320
711321665224210
oct1552005407760
9365711178243
10117307740144
1145828185481
121a89a15b840
13b0a64b09ba
14596b96a240
1530b894dde9
hex1b50160ff0

117307740144 has 160 divisors (see below), whose sum is σ = 365458037760. Its totient is φ = 31698855936.

The previous prime is 117307740103. The next prime is 117307740227. The reversal of 117307740144 is 441047703711.

It is a super-2 number, since 2×1173077401442 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 602514 + ... + 773070.

It is an arithmetic number, because the mean of its divisors is an integer number (2284112736).

Almost surely, 2117307740144 is an apocalyptic number.

117307740144 is a gapful number since it is divisible by the number (14) 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 117307740144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182729018880).

117307740144 is an abundant number, since it is smaller than the sum of its proper divisors (248150297616).

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

117307740144 is a wasteful number, since it uses less digits than its factorization.

117307740144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170687 (or 170681 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 39.

The spelling of 117307740144 in words is "one hundred seventeen billion, three hundred seven million, seven hundred forty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 56 69 84 89 92 112 138 161 168 178 184 267 276 322 336 356 368 483 534 552 623 644 712 966 1068 1104 1246 1288 1424 1869 1932 2047 2136 2492 2576 3738 3864 4094 4272 4984 6141 7476 7728 8188 9968 12282 14329 14952 16376 24564 28658 29904 32752 42987 49128 57316 85974 98256 114632 170557 171948 229264 341114 343896 511671 682228 687792 1023342 1193899 1364456 2046684 2387798 2728912 3581697 3922811 4093368 4775596 7163394 7845622 8186736 9551192 11768433 14326788 15179573 15691244 19102384 23536866 27459677 28653576 30359146 31382488 45538719 47073732 54919354 57307152 60718292 62764976 82379031 91077438 94147464 106257011 109838708 121436584 164758062 182154876 188294928 212514022 219677416 242873168 318771033 329516124 349130179 364309752 425028044 439354832 637542066 659032248 698260358 728619504 850056088 1047390537 1275084132 1318064496 1396520716 1700112176 2094781074 2443911253 2550168264 2793041432 4189562148 4887822506 5100336528 5586082864 7331733759 8379124296 9775645012 14663467518 16758248592 19551290024 29326935036 39102580048 58653870072 117307740144