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149075940000 = 2535413191123
BaseRepresentation
bin1000101011010110011…
…1100101001010100000
3112020210100200101212010
42022311213211022200
54420301420040000
6152252354432520
713525145403531
oct2126547451240
9466710611763
10149075940000
115824a5331a9
1224a85292740
1311099cb06b0
147302b70688
153d278edd50
hex22b59e52a0

149075940000 has 240 divisors, whose sum is σ = 526616953632. Its totient is φ = 36695424000.

The previous prime is 149075939981. The next prime is 149075940037. The reversal of 149075940000 is 49570941.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (39).

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 39 ways as a sum of consecutive naturals, for example, 684439 + ... + 875561.

Almost surely, 2149075940000 is an apocalyptic number.

149075940000 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 149075940000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263308476816).

149075940000 is an abundant number, since it is smaller than the sum of its proper divisors (377541013632).

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

149075940000 is a wasteful number, since it uses less digits than its factorization.

149075940000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191169 (or 191146 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The spelling of 149075940000 in words is "one hundred forty-nine billion, seventy-five million, nine hundred forty thousand".