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1340492031990 = 232517191271911901
BaseRepresentation
bin10011100000011011100…
…011010010011111110110
311202011001012020210201200
4103200123203102133312
5133430311430010430
62503451420233330
7165563433161646
oct23403343223766
94664035223650
101340492031990
11477554895141
1219796809b846
139953c0a2097
1448c47236526
1524d08bee460
hex1381b8d27f6

1340492031990 has 384 divisors, whose sum is σ = 3937676820480. Its totient is φ = 314399232000.

The previous prime is 1340492031979. The next prime is 1340492031997. The reversal of 1340492031990 is 991302940431.

1340492031990 is a `hidden beast` number, since 1 + 3 + 40 + 492 + 0 + 31 + 9 + 90 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1340492031997) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 705150040 + ... + 705151940.

It is an arithmetic number, because the mean of its divisors is an integer number (10254366720).

Almost surely, 21340492031990 is an apocalyptic number.

1340492031990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1340492031990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1968838410240).

1340492031990 is an abundant number, since it is smaller than the sum of its proper divisors (2597184788490).

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

1340492031990 is a wasteful number, since it uses less digits than its factorization.

1340492031990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2268 (or 2265 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 1340492031990 in words is "one trillion, three hundred forty billion, four hundred ninety-two million, thirty-one thousand, nine hundred ninety".