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129515043840 = 2103573133161
BaseRepresentation
bin111100010011110110…
…0101011110000000000
3110101022010101220211120
41320213230223300000
54110221322400330
6135255352512240
712233334465000
oct1704754536000
9411263356746
10129515043840
114aa21958416
12211263ab680
13c2a0589020
1463a8d0c000
1535804bcc10
hex1e27b2bc00

129515043840 has 1408 divisors, whose sum is σ = 545831731200. Its totient is φ = 26011238400.

The previous prime is 129515043821. The next prime is 129515043893. The reversal of 129515043840 is 48340515921.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 129515043792 and 129515043801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2123197410 + ... + 2123197470.

Almost surely, 2129515043840 is an apocalyptic number.

129515043840 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 129515043840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272915865600).

129515043840 is an abundant number, since it is smaller than the sum of its proper divisors (416316687360).

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

129515043840 is a wasteful number, since it uses less digits than its factorization.

129515043840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The spelling of 129515043840 in words is "one hundred twenty-nine billion, five hundred fifteen million, forty-three thousand, eight hundred forty".