Search a number
-
+
40221223840 = 255747764081
BaseRepresentation
bin100101011101010111…
…110010101110100000
310211211002022212120001
4211131113302232200
51124333113130330
630251040225344
72622501522160
oct453527625640
9124732285501
1040221223840
111606a917866
12796600b254
133a3cb5b045
141d37b165a0
1510a61349ca
hex95d5f2ba0

40221223840 has 96 divisors (see below), whose sum is σ = 110908030464. Its totient is φ = 13496709120.

The previous prime is 40221223817. The next prime is 40221223841. The reversal of 40221223840 is 4832212204.

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 = 40221223799 and 40221223808.

It is not an unprimeable number, because it can be changed into a prime (40221223841) 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, 329401 + ... + 434680.

It is an arithmetic number, because the mean of its divisors is an integer number (1155291984).

Almost surely, 240221223840 is an apocalyptic number.

40221223840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40221223840 is an abundant number, since it is smaller than the sum of its proper divisors (70686806624).

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

40221223840 is a wasteful number, since it uses less digits than its factorization.

40221223840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764150 (or 764142 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The spelling of 40221223840 in words is "forty billion, two hundred twenty-one million, two hundred twenty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 47 56 70 80 94 112 140 160 188 224 235 280 329 376 470 560 658 752 940 1120 1316 1504 1645 1880 2632 3290 3760 5264 6580 7520 10528 13160 26320 52640 764081 1528162 3056324 3820405 5348567 6112648 7640810 10697134 12225296 15281620 21394268 24450592 26742835 30563240 35911807 42788536 53485670 61126480 71823614 85577072 106971340 122252960 143647228 171154144 179559035 213942680 251382649 287294456 359118070 427885360 502765298 574588912 718236140 855770720 1005530596 1149177824 1256913245 1436472280 2011061192 2513826490 2872944560 4022122384 5027652980 5745889120 8044244768 10055305960 20110611920 40221223840