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40301342120 = 2351325961737
BaseRepresentation
bin100101100010001001…
…011010110110101000
310212000200002022011202
4211202021122312220
51130014120421440
630303021343332
72624463520154
oct454211326650
9125020068152
1040301342120
1116101069916
127988a07b48
133a53630200
141d44610064
1510ad1ad615
hex96225ada8

40301342120 has 48 divisors (see below), whose sum is σ = 98189824860. Its totient is φ = 14880493056.

The previous prime is 40301342117. The next prime is 40301342143. The reversal of 40301342120 is 2124310304.

It can be written as a sum of positive squares in 6 ways, for example, as 1319578276 + 38981763844 = 36326^2 + 197438^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 40301342092 and 40301342101.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2974109 + ... + 2987628.

Almost surely, 240301342120 is an apocalyptic number.

40301342120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40301342120 is an abundant number, since it is smaller than the sum of its proper divisors (57888482740).

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

40301342120 is a wasteful number, since it uses less digits than its factorization.

40301342120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5961774 (or 5961757 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 40301342120 its reverse (2124310304), we get a palindrome (42425652424).

The spelling of 40301342120 in words is "forty billion, three hundred one million, three hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 169 260 338 520 676 845 1352 1690 3380 6760 5961737 11923474 23846948 29808685 47693896 59617370 77502581 119234740 155005162 238469480 310010324 387512905 620020648 775025810 1007533553 1550051620 2015067106 3100103240 4030134212 5037667765 8060268424 10075335530 20150671060 40301342120