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148295425440 = 253517229191193
BaseRepresentation
bin1000101000011100011…
…0001001110110100000
3112011202222000011011110
42022013012021312200
54412202112103230
6152043113343320
713466620214061
oct2120706116640
9464688004143
10148295425440
11579899a1048
12248a7a07b40
1310ca4390966
14726b238568
153cce1254b0
hex2287189da0

148295425440 has 576 divisors, whose sum is σ = 518697768960. Its totient is φ = 35562455040.

The previous prime is 148295425409. The next prime is 148295425471. The reversal of 148295425440 is 44524592841.

It is an interprime number because it is at equal distance from previous prime (148295425409) and next prime (148295425471).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 148295425440.

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, 768369984 + ... + 768370176.

It is an arithmetic number, because the mean of its divisors is an integer number (900516960).

Almost surely, 2148295425440 is an apocalyptic number.

148295425440 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 148295425440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259348884480).

148295425440 is an abundant number, since it is smaller than the sum of its proper divisors (370402343520).

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

148295425440 is a wasteful number, since it uses less digits than its factorization.

148295425440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 48.

The spelling of 148295425440 in words is "one hundred forty-eight billion, two hundred ninety-five million, four hundred twenty-five thousand, four hundred forty".