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116352330240 = 293517891179
BaseRepresentation
bin110110001011100100…
…0111010101000000000
3102010022210102210021110
41230113020322220000
53401242144031430
6125241310123320
711256214326456
oct1542710725000
9363283383243
10116352330240
1145387947913
121a6721b0540
13ac835866b3
1458bab089d6
15305eb297b0
hex1b1723aa00

116352330240 has 160 divisors (see below), whose sum is σ = 393844524480. Its totient is φ = 29202120704.

The previous prime is 116352330229. The next prime is 116352330247. The reversal of 116352330240 is 42033253611.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 116352330198 and 116352330207.

It is not an unprimeable number, because it can be changed into a prime (116352330247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 315030 + ... + 576149.

It is an arithmetic number, because the mean of its divisors is an integer number (2461528278).

Almost surely, 2116352330240 is an apocalyptic number.

116352330240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

116352330240 is an abundant number, since it is smaller than the sum of its proper divisors (277492194240).

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

116352330240 is an equidigital number, since it uses as much as digits as its factorization.

116352330240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891222 (or 891206 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 116352330240 its reverse (42033253611), we get a palindrome (158385583851).

The spelling of 116352330240 in words is "one hundred sixteen billion, three hundred fifty-two million, three hundred thirty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 128 136 160 170 192 204 240 255 256 272 320 340 384 408 480 510 512 544 640 680 768 816 960 1020 1088 1280 1360 1536 1632 1920 2040 2176 2560 2720 3264 3840 4080 4352 5440 6528 7680 8160 8704 10880 13056 16320 21760 26112 32640 43520 65280 130560 891179 1782358 2673537 3564716 4455895 5347074 7129432 8911790 10694148 13367685 14258864 15150043 17823580 21388296 26735370 28517728 30300086 35647160 42776592 45450129 53470740 57035456 60600172 71294320 75750215 85553184 90900258 106941480 114070912 121200344 142588640 151500430 171106368 181800516 213882960 227250645 228141824 242400688 285177280 303000860 342212736 363601032 427765920 454501290 456283648 484801376 570354560 606001720 684425472 727202064 855531840 909002580 969602752 1140709120 1212003440 1368850944 1454404128 1711063680 1818005160 1939205504 2281418240 2424006880 2908808256 3422127360 3636010320 3878411008 4848013760 5817616512 6844254720 7272020640 7756822016 9696027520 11635233024 14544041280 19392055040 23270466048 29088082560 38784110080 58176165120 116352330240