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374270137440 = 25353123721929
BaseRepresentation
bin1010111001001000011…
…11010001010001100000
31022210001112021220222020
411130210033101101200
522113001123344230
6443534243541440
736016522451313
oct5344417212140
91283045256866
10374270137440
111347aa80a881
126065238a880
13293a7b3b1b4
1414186d0a97a
159b07b05810
hex57243d1460

374270137440 has 288 divisors, whose sum is σ = 1251190009440. Its totient is φ = 93971128320.

The previous prime is 374270137379. The next prime is 374270137441. The reversal of 374270137440 is 44731072473.

It is a junction number, because it is equal to n+sod(n) for n = 374270137392 and 374270137401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (374270137441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17056396 + ... + 17078324.

It is an arithmetic number, because the mean of its divisors is an integer number (4344409755).

Almost surely, 2374270137440 is an apocalyptic number.

374270137440 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 374270137440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625595004720).

374270137440 is an abundant number, since it is smaller than the sum of its proper divisors (876919872000).

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

374270137440 is a wasteful number, since it uses less digits than its factorization.

374270137440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22046 (or 22007 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 42.

The spelling of 374270137440 in words is "three hundred seventy-four billion, two hundred seventy million, one hundred thirty-seven thousand, four hundred forty".