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381113139840 = 2735793976329
BaseRepresentation
bin1011000101111000001…
…11010000001010000000
31100102201102121110112120
411202330013100022000
522221004430433330
6451025253124240
736351224144526
oct5427407201200
91312642543476
10381113139840
111376a1482864
1261a42029680
1329c28765144
1414635a7a316
159da875bc10
hex58bc1d0280

381113139840 has 256 divisors, whose sum is σ = 1233468864000. Its totient is φ = 100075143168.

The previous prime is 381113139821. The next prime is 381113139857. The reversal of 381113139840 is 48931311183.

It is a junction number, because it is equal to n+sod(n) for n = 381113139792 and 381113139801.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60213796 + ... + 60220124.

It is an arithmetic number, because the mean of its divisors is an integer number (4818237750).

Almost surely, 2381113139840 is an apocalyptic number.

381113139840 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 381113139840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616734432000).

381113139840 is an abundant number, since it is smaller than the sum of its proper divisors (852355724160).

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

381113139840 is a wasteful number, since it uses less digits than its factorization.

381113139840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6827 (or 6815 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The spelling of 381113139840 in words is "three hundred eighty-one billion, one hundred thirteen million, one hundred thirty-nine thousand, eight hundred forty".