Search a number
-
+
400326531000 = 233531122753441
BaseRepresentation
bin1011101001101010101…
…00100001011110111000
31102021022102222212022120
411310311110201132320
523024332042443000
6503524002521240
740631315240304
oct5646524413670
91367272885276
10400326531000
11144860987a30
1265704666220
132b99b198156
14155396c0d04
15a6303e86a0
hex5d355217b8

400326531000 has 256 divisors, whose sum is σ = 1368594040320. Its totient is φ = 96619520000.

The previous prime is 400326530987. The next prime is 400326531023. The reversal of 400326531000 is 135623004.

It is a happy number.

It is a super-2 number, since 2×4003265310002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7464280 + ... + 7517720.

It is an arithmetic number, because the mean of its divisors is an integer number (5346070470).

Almost surely, 2400326531000 is an apocalyptic number.

400326531000 is a gapful number since it is divisible by the number (40) 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 400326531000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684297020160).

400326531000 is an abundant number, since it is smaller than the sum of its proper divisors (968267509320).

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

400326531000 is a wasteful number, since it uses less digits than its factorization.

400326531000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53703 (or 53689 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The spelling of 400326531000 in words is "four hundred billion, three hundred twenty-six million, five hundred thirty-one thousand".