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148272254471040 = 273574229140453
BaseRepresentation
bin100001101101101001010011…
…000011101100101110000000
3201102222200121100110001200220
4201231221103003230232000
5123413243034121033130
61243203200001143040
743142213455110000
oct4155512303545600
9642880540401626
10148272254471040
1143275a01221157
12147681a602aa80
136497023b621ab
1428885b5c40000
151221d7cdb3410
hex86da530ecb80

148272254471040 has 640 divisors, whose sum is σ = 553766244170400. Its totient is φ = 33742566014976.

The previous prime is 148272254471017. The next prime is 148272254471041. The reversal of 148272254471040 is 40174452272841.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×1482722544710402 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148272254471041) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1055601454 + ... + 1055741906.

Almost surely, 2148272254471040 is an apocalyptic number.

148272254471040 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 148272254471040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276883122085200).

148272254471040 is an abundant number, since it is smaller than the sum of its proper divisors (405493989699360).

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

148272254471040 is an equidigital number, since it uses as much as digits as its factorization.

148272254471040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140732 (or 140699 counting only the distinct ones).

The product of its (nonzero) digits is 4014080, while the sum is 51.

The spelling of 148272254471040 in words is "one hundred forty-eight trillion, two hundred seventy-two billion, two hundred fifty-four million, four hundred seventy-one thousand, forty".