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116357124240 = 243357174161181
BaseRepresentation
bin110110001011101101…
…1001101000010010000
3102010100010110100102000
41230113123031002100
53401244410433430
6125242000554000
711256303144240
oct1542733150220
9363303410360
10116357124240
114538a6216a5
121a673922900
13ac84574796
1458bb5d5b20
153060274e60
hex1b176cd090

116357124240 has 1280 divisors, whose sum is σ = 507747502080. Its totient is φ = 23887872000.

The previous prime is 116357124239. The next prime is 116357124311. The reversal of 116357124240 is 42421753611.

116357124240 is a `hidden beast` number, since 1 + 1 + 6 + 3 + 571 + 2 + 42 + 40 = 666.

It is a super-2 number, since 2×1163571242402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 116357124195 and 116357124204.

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 255 ways as a sum of consecutive naturals, for example, 642856950 + ... + 642857130.

It is an arithmetic number, because the mean of its divisors is an integer number (396677736).

Almost surely, 2116357124240 is an apocalyptic number.

116357124240 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 116357124240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253873751040).

116357124240 is an abundant number, since it is smaller than the sum of its proper divisors (391390377840).

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

116357124240 is a wasteful number, since it uses less digits than its factorization.

116357124240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 116357124240 its reverse (42421753611), we get a palindrome (158778877851).

It can be divided in two parts, 1163571 and 24240, that added together give a palindrome (1187811).

The spelling of 116357124240 in words is "one hundred sixteen billion, three hundred fifty-seven million, one hundred twenty-four thousand, two hundred forty".