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102997478440 = 2352857901273
BaseRepresentation
bin101111111101100100…
…0001100110000101000
3100211212001221000122201
41133323020030300220
53141414323302230
6115152201225544
710304242056463
oct1377310146050
9324761830581
10102997478440
113a75443400a
1217b657922b4
13993582031c
144db11ac2da
152a2c4815ca
hex17fb20cc28

102997478440 has 32 divisors (see below), whose sum is σ = 231825698280. Its totient is φ = 41184525312.

The previous prime is 102997478351. The next prime is 102997478443. The reversal of 102997478440 is 44874799201.

102997478440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 81563932836 + 21433545604 = 285594^2 + 146402^2 .

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (102997478443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 336357 + ... + 564916.

Almost surely, 2102997478440 is an apocalyptic number.

102997478440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102997478440 is an abundant number, since it is smaller than the sum of its proper divisors (128828219840).

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

102997478440 is a wasteful number, since it uses less digits than its factorization.

102997478440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904141 (or 904137 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 55.

The spelling of 102997478440 in words is "one hundred two billion, nine hundred ninety-seven million, four hundred seventy-eight thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 2857 5714 11428 14285 22856 28570 57140 114280 901273 1802546 3605092 4506365 7210184 9012730 18025460 36050920 2574936961 5149873922 10299747844 12874684805 20599495688 25749369610 51498739220 102997478440