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150419903040 = 26345114312269
BaseRepresentation
bin1000110000010110111…
…0011001001001000000
3112101021000120210120000
42030011232121021000
54431024443344130
6153034004320000
713603355036241
oct2140556311100
9471230523500
10150419903040
115887a128560
122519b3a3000
131125256bcb4
1473cd456cc8
153da58c5260
hex2305b99240

150419903040 has 560 divisors, whose sum is σ = 597336189120. Its totient is φ = 35614494720.

The previous prime is 150419903027. The next prime is 150419903107. The reversal of 150419903040 is 40309914051.

It is a happy number.

150419903040 is a `hidden beast` number, since 150 + 419 + 90 + 3 + 0 + 4 + 0 = 666.

It is a super-2 number, since 2×1504199030402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 150419902986 and 150419903004.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12254026 + ... + 12266294.

Almost surely, 2150419903040 is an apocalyptic number.

150419903040 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 150419903040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298668094560).

150419903040 is an abundant number, since it is smaller than the sum of its proper divisors (446916286080).

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

150419903040 is a wasteful number, since it uses less digits than its factorization.

150419903040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12352 (or 12333 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 150419903040 in words is "one hundred fifty billion, four hundred nineteen million, nine hundred three thousand, forty".