Search a number
-
+
40404302120 = 23571359188137
BaseRepresentation
bin100101101000010010…
…001011100100101000
310212021211211012202002
4211220102023210220
51130222000131440
630321140230132
72630153621120
oct455022134450
9125254735662
1040404302120
11161541a2226
1279b739b348
133a6ba6c0a0
141d54171c80
1510b724a115
hex96848b928

40404302120 has 128 divisors (see below), whose sum is σ = 113785862400. Its totient is φ = 12570494976.

The previous prime is 40404302089. The next prime is 40404302153. The reversal of 40404302120 is 2120340404.

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 = 40404302092 and 40404302101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120692 + ... + 308828.

It is an arithmetic number, because the mean of its divisors is an integer number (888952050).

Almost surely, 240404302120 is an apocalyptic number.

40404302120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40404302120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56892931200).

40404302120 is an abundant number, since it is smaller than the sum of its proper divisors (73381560280).

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

40404302120 is a wasteful number, since it uses less digits than its factorization.

40404302120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188227 (or 188223 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 40404302120 its reverse (2120340404), we get a palindrome (42524642524).

The spelling of 40404302120 in words is "forty billion, four hundred four million, three hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 59 65 70 91 104 118 130 140 182 236 260 280 295 364 413 455 472 520 590 728 767 826 910 1180 1534 1652 1820 2065 2360 3068 3304 3640 3835 4130 5369 6136 7670 8260 10738 15340 16520 21476 26845 30680 42952 53690 107380 188137 214760 376274 752548 940685 1316959 1505096 1881370 2445781 2633918 3762740 4891562 5267836 6584795 7525480 9783124 10535672 11100083 12228905 13169590 17120467 19566248 22200166 24457810 26339180 34240934 44400332 48915620 52678360 55500415 68481868 77700581 85602335 88800664 97831240 111000830 136963736 144301079 155401162 171204670 222001660 288602158 310802324 342409340 388502905 444003320 577204316 621604648 684818680 721505395 777005810 1010107553 1154408632 1443010790 1554011620 2020215106 2886021580 3108023240 4040430212 5050537765 5772043160 8080860424 10101075530 20202151060 40404302120