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253701284040 = 233251925336833
BaseRepresentation
bin1110110001000111000…
…1100110000011001000
3220020211212201120022100
43230101301212003020
513124040012042130
6312314310553400
724220645222221
oct3542161460310
9806755646270
10253701284040
1198659840786
1241204068860
131ac01b420a9
14c3ca208248
1568ecc35c60
hex3b11c660c8

253701284040 has 288 divisors, whose sum is σ = 886652577720. Its totient is φ = 62881947648.

The previous prime is 253701284033. The next prime is 253701284047. The reversal of 253701284040 is 40482107352.

It is a happy number.

253701284040 is a `hidden beast` number, since 2 + 5 + 370 + 1 + 284 + 0 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (253701284033) and next prime (253701284047).

It can be written as a sum of positive squares in 4 ways, for example, as 151739853444 + 101961430596 = 389538^2 + 319314^2 .

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 = 253701283986 and 253701284004.

It is not an unprimeable number, because it can be changed into a prime (253701284047) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6869464 + ... + 6906296.

Almost surely, 2253701284040 is an apocalyptic number.

253701284040 is a gapful number since it is divisible by the number (20) 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 253701284040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443326288860).

253701284040 is an abundant number, since it is smaller than the sum of its proper divisors (632951293680).

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

253701284040 is a wasteful number, since it uses less digits than its factorization.

253701284040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36941 (or 36915 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 253701284040 in words is "two hundred fifty-three billion, seven hundred one million, two hundred eighty-four thousand, forty".