Search a number
-
+
148256148040 = 23571113192337229
BaseRepresentation
bin1000101000010011000…
…0010100101001001000
3112011200020002122200221
42022010300110221020
54412112033214130
6152035151435424
713465632315520
oct2120460245110
9464606078627
10148256148040
1157969804390
1224896825b74
1310c991bacb0
147265d32680
153cca96787a
hex2284c14a48

148256148040 has 1024 divisors, whose sum is σ = 507451392000. Its totient is φ = 37444239360.

The previous prime is 148256147957. The next prime is 148256148041. The reversal of 148256148040 is 40841652841.

It is not an unprimeable number, because it can be changed into a prime (148256148041) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 647406646 + ... + 647406874.

It is an arithmetic number, because the mean of its divisors is an integer number (495558000).

Almost surely, 2148256148040 is an apocalyptic number.

148256148040 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 148256148040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253725696000).

148256148040 is an abundant number, since it is smaller than the sum of its proper divisors (359195243960).

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

148256148040 is a wasteful number, since it uses less digits than its factorization.

148256148040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 43.

The spelling of 148256148040 in words is "one hundred forty-eight billion, two hundred fifty-six million, one hundred forty-eight thousand, forty".