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40406513140 = 2257393173421
BaseRepresentation
bin100101101000011010…
…100111010111110100
310212021222222112200201
4211220122213113310
51130223031410030
630321255450244
72630211460210
oct455032472764
9125258875621
1040406513140
1116155472414
1279b8086984
133a6c364596
141d54589940
1510b75352ca
hex9686a75f4

40406513140 has 48 divisors (see below), whose sum is σ = 97001622144. Its totient is φ = 13849948800.

The previous prime is 40406513129. The next prime is 40406513141. The reversal of 40406513140 is 4131560404.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 40406513099 and 40406513108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40406513141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 513630 + ... + 587050.

It is an arithmetic number, because the mean of its divisors is an integer number (2020867128).

Almost surely, 240406513140 is an apocalyptic number.

It is an amenable number.

40406513140 is an abundant number, since it is smaller than the sum of its proper divisors (56595109004).

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

40406513140 is a wasteful number, since it uses less digits than its factorization.

40406513140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77368 (or 77366 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The spelling of 40406513140 in words is "forty billion, four hundred six million, five hundred thirteen thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 3931 7862 15724 19655 27517 39310 55034 73421 78620 110068 137585 146842 275170 293684 367105 513947 550340 734210 1027894 1468420 2055788 2569735 5139470 10278940 288617951 577235902 1154471804 1443089755 2020325657 2886179510 4040651314 5772359020 8081302628 10101628285 20203256570 40406513140