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1374190139520 = 27325112953103137
BaseRepresentation
bin10011111111110100000…
…111010111100010000000
311212101000200012000221100
4103333310013113202000
5140003320133431040
62531143315454400
7201165466313262
oct23776407274200
94771020160840
101374190139520
1148a877566090
121a23b15b7400
139c77c677593
144a72288bb32
1525b2c318b30
hex13ff41d7880

1374190139520 has 1536 divisors, whose sum is σ = 5549367283200. Its totient is φ = 310235627520.

The previous prime is 1374190139489. The next prime is 1374190139521. The reversal of 1374190139520 is 259310914731.

1374190139520 is a `hidden beast` number, since 1 + 3 + 7 + 4 + 1 + 90 + 1 + 39 + 520 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1374190139521) 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, 10030584892 + ... + 10030585028.

It is an arithmetic number, because the mean of its divisors is an integer number (3612869325).

Almost surely, 21374190139520 is an apocalyptic number.

1374190139520 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 1374190139520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2774683641600).

1374190139520 is an abundant number, since it is smaller than the sum of its proper divisors (4175177143680).

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

1374190139520 is a wasteful number, since it uses less digits than its factorization.

1374190139520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 1374190139520 in words is "one trillion, three hundred seventy-four billion, one hundred ninety million, one hundred thirty-nine thousand, five hundred twenty".