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30699440640 = 293451143313
BaseRepresentation
bin11100100101110101…
…000100101000000000
32221020111102011120000
4130211311010220000
51000333024100030
622034135320000
72134521640251
oct344565045000
987214364500
1030699440640
1112024041150
125b49220000
132b832699bb
1416b32b8b28
15bea23a860
hex725d44a00

30699440640 has 800 divisors, whose sum is σ = 123133386816. Its totient is φ = 7245987840.

The previous prime is 30699440621. The next prime is 30699440689. The reversal of 30699440640 is 4604499603.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 98081124 + ... + 98081436.

Almost surely, 230699440640 is an apocalyptic number.

30699440640 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 30699440640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61566693408).

30699440640 is an abundant number, since it is smaller than the sum of its proper divisors (92433946176).

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

30699440640 is a wasteful number, since it uses less digits than its factorization.

30699440640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 30699440640 in words is "thirty billion, six hundred ninety-nine million, four hundred forty thousand, six hundred forty".