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149427228997440 = 26335792414092221
BaseRepresentation
bin100001111110011100111100…
…111001110111011101000000
3201121002002210111210010102000
4201332130330321313131000
5124041203431110404230
61245445531001424000
743321522014440502
oct4176347471673500
9647062714703360
10149427228997440
1143680806233539
1214913bb879b000
13654bc0918a114
1428c8460587d72
151241e29cccb60
hex87e73ce77740

149427228997440 has 896 divisors, whose sum is σ = 537586342656000. Its totient is φ = 39066225868800.

The previous prime is 149427228997369. The next prime is 149427228997499. The reversal of 149427228997440 is 44799822724941.

149427228997440 is a `hidden beast` number, since 1 + 4 + 9 + 4 + 2 + 72 + 28 + 9 + 97 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 67279255530 + ... + 67279257750.

Almost surely, 2149427228997440 is an apocalyptic number.

149427228997440 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 149427228997440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268793171328000).

149427228997440 is an abundant number, since it is smaller than the sum of its proper divisors (388159113658560).

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

149427228997440 is a wasteful number, since it uses less digits than its factorization.

149427228997440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2976 (or 2960 counting only the distinct ones).

The product of its (nonzero) digits is 585252864, while the sum is 72.

The spelling of 149427228997440 in words is "one hundred forty-nine trillion, four hundred twenty-seven billion, two hundred twenty-eight million, nine hundred ninety-seven thousand, four hundred forty".