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20402024040 = 233456296921
BaseRepresentation
bin10011000000000011…
…100010111001101000
31221122212000012120000
4103000003202321220
5313240404232130
613212250103000
71321403225436
oct230003427150
957585005500
1020402024040
11871a4576a2
123b5471aa60
131c01a77598
14db7855d56
157e61ce260
hex4c00e2e68

20402024040 has 80 divisors (see below), whose sum is σ = 68573480580. Its totient is φ = 5440538880.

The previous prime is 20402024039. The next prime is 20402024089. The reversal of 20402024040 is 4042020402.

20402024040 is a `hidden beast` number, since 20 + 40 + 202 + 404 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20052259236 + 349764804 = 141606^2 + 18702^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3145221 + ... + 3151700.

Almost surely, 220402024040 is an apocalyptic number.

20402024040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20402024040 is an abundant number, since it is smaller than the sum of its proper divisors (48171456540).

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

20402024040 is a wasteful number, since it uses less digits than its factorization.

20402024040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6296944 (or 6296931 counting only the distinct ones).

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

Adding to 20402024040 its reverse (4042020402), we get a palindrome (24444044442).

The spelling of 20402024040 in words is "twenty billion, four hundred two million, twenty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 6296921 12593842 18890763 25187684 31484605 37781526 50375368 56672289 62969210 75563052 94453815 113344578 125938420 151126104 170016867 188907630 226689156 251876840 283361445 340033734 377815260 453378312 510050601 566722890 680067468 755630520 850084335 1020101202 1133445780 1360134936 1700168670 2040202404 2266891560 2550253005 3400337340 4080404808 5100506010 6800674680 10201012020 20402024040