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30631487040 = 26335711411123
BaseRepresentation
bin11100100001110001…
…110110011001000000
32221001202112202202000
4130201301312121000
51000213130041130
622023311024000
72133035225640
oct344161663100
987052482660
1030631487040
1111a99748650
125b2a50b000
132b7216677b
1416a826a520
15be42b6260
hex721c76640

30631487040 has 896 divisors, whose sum is σ = 138134384640. Its totient is φ = 6204211200.

The previous prime is 30631487021. The next prime is 30631487069. The reversal of 30631487040 is 4078413603.

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 = 30631486986 and 30631487004.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 27275919 + ... + 27277041.

It is an arithmetic number, because the mean of its divisors is an integer number (154167840).

Almost surely, 230631487040 is an apocalyptic number.

30631487040 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 30631487040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69067192320).

30631487040 is an abundant number, since it is smaller than the sum of its proper divisors (107502897600).

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

30631487040 is a wasteful number, since it uses less digits than its factorization.

30631487040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1208 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 30631487040 in words is "thirty billion, six hundred thirty-one million, four hundred eighty-seven thousand, forty".