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40213112420 = 22513413772337
BaseRepresentation
bin100101011100111000…
…110110011001100100
310211210112001202210002
4211130320312121210
51124324024044140
630250150320432
72622342546545
oct453470663144
9124715052702
1040213112420
1116066287608
127963359118
133a3b27aca0
141d36a044cc
1510a5581415
hex95ce36664

40213112420 has 48 divisors (see below), whose sum is σ = 93161659248. Its totient is φ = 14485770240.

The previous prime is 40213112399. The next prime is 40213112477. The reversal of 40213112420 is 2421131204.

40213112420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 13599757924 + 26613354496 = 116618^2 + 163136^2 .

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 = 40213112392 and 40213112401.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1875509 + ... + 1896828.

It is an arithmetic number, because the mean of its divisors is an integer number (1940867901).

Almost surely, 240213112420 is an apocalyptic number.

It is an amenable number.

40213112420 is an abundant number, since it is smaller than the sum of its proper divisors (52948546828).

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

40213112420 is a wasteful number, since it uses less digits than its factorization.

40213112420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3772400 (or 3772398 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 40213112420 its reverse (2421131204), we get a palindrome (42634243624).

The spelling of 40213112420 in words is "forty billion, two hundred thirteen million, one hundred twelve thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 41 52 65 82 130 164 205 260 410 533 820 1066 2132 2665 5330 10660 3772337 7544674 15089348 18861685 37723370 49040381 75446740 98080762 154665817 196161524 245201905 309331634 490403810 618663268 773329085 980807620 1546658170 2010655621 3093316340 4021311242 8042622484 10053278105 20106556210 40213112420