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102461245440 = 21135672743
BaseRepresentation
bin101111101101100101…
…0101000100000000000
3100210110200220120021020
41133123022220200000
53134320034323230
6115023044025440
710255041134121
oct1373312504000
9323420816236
10102461245440
113a4a977a244
1217a36092280
13987b6c01a8
144d5dca4048
1529ea35c810
hex17db2a8800

102461245440 has 288 divisors, whose sum is σ = 333209298240. Its totient is φ = 26878967808.

The previous prime is 102461245433. The next prime is 102461245441. The reversal of 102461245440 is 44542164201.

It is not an unprimeable number, because it can be changed into a prime (102461245441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137901709 + ... + 137902451.

It is an arithmetic number, because the mean of its divisors is an integer number (1156976730).

Almost surely, 2102461245440 is an apocalyptic number.

102461245440 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 102461245440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166604649120).

102461245440 is an abundant number, since it is smaller than the sum of its proper divisors (230748052800).

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

102461245440 is an frugal number, since it uses more digits than its factorization.

102461245440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The spelling of 102461245440 in words is "one hundred two billion, four hundred sixty-one million, two hundred forty-five thousand, four hundred forty".