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311803914240 = 21139571317
BaseRepresentation
bin1001000100110001111…
…01100010100000000000
31002210211011002000000000
410202120331202200000
520102033300223430
6355124000000000
731345535353440
oct4423075424000
91083734060000
10311803914240
111102651a9825
125051a600000
1323531479950
141113caba120
15819dae9e60
hex4898f62800

311803914240 has 1920 divisors, whose sum is σ = 1462415834880. Its totient is φ = 61917364224.

The previous prime is 311803914239. The next prime is 311803914241. The reversal of 311803914240 is 42419308113.

It is an interprime number because it is at equal distance from previous prime (311803914239) and next prime (311803914241).

It is a tau number, because it is divible by the number of its divisors (1920).

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 = 311803914195 and 311803914204.

It is not an unprimeable number, because it can be changed into a prime (311803914241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 18341406712 + ... + 18341406728.

It is an arithmetic number, because the mean of its divisors is an integer number (761674914).

Almost surely, 2311803914240 is an apocalyptic number.

311803914240 is a gapful number since it is divisible by the number (30) 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 311803914240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731207917440).

311803914240 is an abundant number, since it is smaller than the sum of its proper divisors (1150611920640).

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

311803914240 is an frugal number, since it uses more digits than its factorization.

311803914240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 311803914240 in words is "three hundred eleven billion, eight hundred three million, nine hundred fourteen thousand, two hundred forty".