Search a number
-
+
40257437220 = 2232571113223429
BaseRepresentation
bin100101011111100001…
…111011111000100100
310211220121110200222100
4211133201323320210
51124421400442340
630254412332100
72623421366430
oct453741737044
9124817420870
1040257437220
1116089301480
127976174030
133a474ca190
141d3c8619c0
1510a93d9830
hex95f87be24

40257437220 has 288 divisors, whose sum is σ = 163958296320. Its totient is φ = 7721671680.

The previous prime is 40257437203. The next prime is 40257437237. The reversal of 40257437220 is 2273475204.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (40257437203) and next prime (40257437237).

It is a super-2 number, since 2×402574372202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 68466 + ... + 291894.

It is an arithmetic number, because the mean of its divisors is an integer number (569299640).

Almost surely, 240257437220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40257437220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81979148160).

40257437220 is an abundant number, since it is smaller than the sum of its proper divisors (123700859100).

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

40257437220 is a wasteful number, since it uses less digits than its factorization.

40257437220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223475 (or 223470 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 36.

The spelling of 40257437220 in words is "forty billion, two hundred fifty-seven million, four hundred thirty-seven thousand, two hundred twenty".