Search a number
-
+
40307485140 = 223351313741911
BaseRepresentation
bin100101100010100000…
…110110100111010100
310212001002122101211000
4211202200312213110
51130022204011030
630303401143300
72624566653636
oct454240664724
9125032571730
1040307485140
111610458519a
12798aa8ab30
133a549a1330
141d4536ca56
1510ad9c3860
hex9628369d4

40307485140 has 192 divisors, whose sum is σ = 136036293120. Its totient is φ = 9849185280.

The previous prime is 40307485123. The next prime is 40307485157. The reversal of 40307485140 is 4158470304.

40307485140 is a `hidden beast` number, since 4 + 0 + 30 + 7 + 485 + 140 = 666.

It is an interprime number because it is at equal distance from previous prime (40307485123) and next prime (40307485157).

It is a super-2 number, since 2×403074851402 (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 a junction number, because it is equal to n+sod(n) for n = 40307485095 and 40307485104.

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, 940785 + ... + 982695.

It is an arithmetic number, because the mean of its divisors is an integer number (708522360).

Almost surely, 240307485140 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 40307485140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68018146560).

40307485140 is an abundant number, since it is smaller than the sum of its proper divisors (95728807980).

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

40307485140 is a wasteful number, since it uses less digits than its factorization.

40307485140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42079 (or 42071 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 40307485140 in words is "forty billion, three hundred seven million, four hundred eighty-five thousand, one hundred forty".