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148426142256 = 243372191073449
BaseRepresentation
bin1000101000111011100…
…0110011001000110000
3112012010001222020221000
42022032320303020300
54412434043023011
6152104103202000
713503065251500
oct2121670631060
9465101866830
10148426142256
1157a46762577
1224923746300
1310cc549a7a2
147280743a00
153cda846356
hex228ee33230

148426142256 has 480 divisors, whose sum is σ = 526707360000. Its totient is φ = 39788485632.

The previous prime is 148426142239. The next prime is 148426142261. The reversal of 148426142256 is 652241624841.

148426142256 is a `hidden beast` number, since 1 + 4 + 8 + 4 + 2 + 614 + 2 + 25 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43032820 + ... + 43036268.

It is an arithmetic number, because the mean of its divisors is an integer number (1097307000).

Almost surely, 2148426142256 is an apocalyptic number.

148426142256 is a gapful number since it is divisible by the number (16) 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 148426142256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263353680000).

148426142256 is an abundant number, since it is smaller than the sum of its proper divisors (378281217744).

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

148426142256 is a wasteful number, since it uses less digits than its factorization.

148426142256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3606 (or 3587 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The spelling of 148426142256 in words is "one hundred forty-eight billion, four hundred twenty-six million, one hundred forty-two thousand, two hundred fifty-six".