Search a number
-
+
40917270528 = 218344147
BaseRepresentation
bin100110000110110111…
…000000000000000000
310220121121001201010000
4212012313000000000
51132244310124103
630444103040000
72645653026621
oct460667000000
9126547051100
1040917270528
1116397806a62
127b1b140000
133b21114ba4
141da2341a48
1510e72c5aa3
hex986dc0000

40917270528 has 380 divisors, whose sum is σ = 127892473632. Its totient is φ = 13023313920.

The previous prime is 40917270523. The next prime is 40917270551. The reversal of 40917270528 is 82507271904.

It is a happy number.

40917270528 is a `hidden beast` number, since 40 + 9 + 17 + 2 + 70 + 528 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40917270523) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 870580201 + ... + 870580247.

Almost surely, 240917270528 is an apocalyptic number.

40917270528 is a gapful number since it is divisible by the number (48) 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 40917270528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63946236816).

40917270528 is an abundant number, since it is smaller than the sum of its proper divisors (86975203104).

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

40917270528 is an frugal number, since it uses more digits than its factorization.

40917270528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 40917270528 in words is "forty billion, nine hundred seventeen million, two hundred seventy thousand, five hundred twenty-eight".