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40470550344 = 2334731449641
BaseRepresentation
bin100101101100001110…
…111001011101001000
310212110110110222020000
4211230032321131020
51130340430102334
630331504203000
72631620000460
oct455416713510
9125413428200
1040470550344
1116188630524
127a15609460
133a7c6c6013
141d5cc98ba0
1510bce84299
hex96c3b9748

40470550344 has 320 divisors, whose sum is σ = 134234496000. Its totient is φ = 11147673600.

The previous prime is 40470550301. The next prime is 40470550361. The reversal of 40470550344 is 44305507404.

40470550344 is a `hidden beast` number, since 4 + 0 + 4 + 70 + 550 + 34 + 4 = 666.

40470550344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 40470550299 and 40470550308.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 63136264 + ... + 63136904.

It is an arithmetic number, because the mean of its divisors is an integer number (419482800).

Almost surely, 240470550344 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 40470550344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67117248000).

40470550344 is an abundant number, since it is smaller than the sum of its proper divisors (93763945656).

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

40470550344 is a wasteful number, since it uses less digits than its factorization.

40470550344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 36.

The spelling of 40470550344 in words is "forty billion, four hundred seventy million, five hundred fifty thousand, three hundred forty-four".