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40040240220 = 2233596776679
BaseRepresentation
bin100101010010100101…
…011001010001011100
310211100110202221201000
4211102211121101130
51124000300141340
630221053150300
72615143266141
oct452245312134
9124313687630
1040040240220
1115a87743122
12791548b390
133a11501546
141d1ba843c8
1510952d4d30
hex95295945c

40040240220 has 96 divisors (see below), whose sum is σ = 124700083200. Its totient is φ = 10666216512.

The previous prime is 40040240213. The next prime is 40040240221. The reversal of 40040240220 is 2204204004.

40040240220 is a `hidden beast` number, since 4 + 0 + 0 + 402 + 40 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 40040240193 and 40040240202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40040240221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 483841 + ... + 560519.

It is an arithmetic number, because the mean of its divisors is an integer number (1298959200).

Almost surely, 240040240220 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 40040240220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62350041600).

40040240220 is an abundant number, since it is smaller than the sum of its proper divisors (84659842980).

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

40040240220 is a wasteful number, since it uses less digits than its factorization.

40040240220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77664 (or 77656 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 40040240220 its reverse (2204204004), we get a palindrome (42244444224).

The spelling of 40040240220 in words is "forty billion, forty million, two hundred forty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 967 1934 2901 3868 4835 5802 8703 9670 11604 14505 17406 19340 26109 29010 34812 43515 52218 58020 76679 87030 104436 130545 153358 174060 230037 261090 306716 383395 460074 522180 690111 766790 920148 1150185 1380222 1533580 2070333 2300370 2760444 3450555 4140666 4600740 6901110 8281332 10351665 13802220 20703330 41406660 74148593 148297186 222445779 296594372 370742965 444891558 667337337 741485930 889783116 1112228895 1334674674 1482971860 2002012011 2224457790 2669349348 3336686685 4004024022 4448915580 6673373370 8008048044 10010060055 13346746740 20020120110 40040240220