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1029472086240 = 253251355798731
BaseRepresentation
bin11101111101100010101…
…00010110100011100000
310122102020200100112022200
432332301110112203200
5113331324323224430
62104533303333200
7134243164231503
oct16766124264340
93572220315280
101029472086240
11367662177564
12147628151200
1376104184320
1437b8071113a
151bba3d61460
hexefb15168e0

1029472086240 has 288 divisors, whose sum is σ = 3790140602976. Its totient is φ = 252950999040.

The previous prime is 1029472086199. The next prime is 1029472086241. The reversal of 1029472086240 is 426802749201.

1029472086240 is a `hidden beast` number, since 10 + 2 + 9 + 4 + 7 + 2 + 0 + 8 + 624 + 0 = 666.

1029472086240 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1029472086241) 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, 10377675 + ... + 10476405.

It is an arithmetic number, because the mean of its divisors is an integer number (13160210427).

Almost surely, 21029472086240 is an apocalyptic number.

1029472086240 is a gapful number since it is divisible by the number (10) 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 1029472086240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1895070301488).

1029472086240 is an abundant number, since it is smaller than the sum of its proper divisors (2760668516736).

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

1029472086240 is a wasteful number, since it uses less digits than its factorization.

1029472086240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99322 (or 99311 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 1029472086240 in words is "one trillion, twenty-nine billion, four hundred seventy-two million, eighty-six thousand, two hundred forty".