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319105435740 = 2235713232541053
BaseRepresentation
bin1001010010011000010…
…10101000100001011100
31010111200000011201112020
410221030022220201130
520212011442420430
6402332304540140
732024505310230
oct4511412504134
91114600151466
10319105435740
11113371776a13
1251a17921650
1324126094080
14116326c45c0
158479b23b10
hex4a4c2a885c

319105435740 has 192 divisors, whose sum is σ = 1147499329536. Its totient is φ = 64400421888.

The previous prime is 319105435721. The next prime is 319105435783. The reversal of 319105435740 is 47534501913.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 319105435692 and 319105435701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1144947 + ... + 1396106.

It is an arithmetic number, because the mean of its divisors is an integer number (5976559008).

Almost surely, 2319105435740 is an apocalyptic number.

319105435740 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

319105435740 is an abundant number, since it is smaller than the sum of its proper divisors (828393893796).

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

319105435740 is a wasteful number, since it uses less digits than its factorization.

319105435740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2541108 (or 2541106 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 42.

The spelling of 319105435740 in words is "three hundred nineteen billion, one hundred five million, four hundred thirty-five thousand, seven hundred forty".