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149470790400 = 2834523171131
BaseRepresentation
bin1000101100110100100…
…1110100001100000000
3112021210212122212210000
42023031021310030000
54422104010243100
6152355501440000
713541011520061
oct2131511641400
9467725585700
10149470790400
1158432401148
1224b75570000
1311130a3b099
14733d394568
153d4c3e6900
hex22cd274300

149470790400 has 1080 divisors, whose sum is σ = 582940689408. Its totient is φ = 37739520000.

The previous prime is 149470790363. The next prime is 149470790411. The reversal of 149470790400 is 4097074941.

149470790400 is a `hidden beast` number, since 1 + 4 + 94 + 70 + 7 + 90 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1140998335 + ... + 1140998465.

Almost surely, 2149470790400 is an apocalyptic number.

149470790400 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 149470790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291470344704).

149470790400 is an abundant number, since it is smaller than the sum of its proper divisors (433469899008).

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

149470790400 is a wasteful number, since it uses less digits than its factorization.

149470790400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 149470790400 in words is "one hundred forty-nine billion, four hundred seventy million, seven hundred ninety thousand, four hundred".