Search a number
-
+
32131231441420 = 22529311998980171
BaseRepresentation
bin1110100111001001000101…
…01000101110001000001100
311012202201022202122120010111
413103210202220232020030
513202414230222111140
6152200514533245404
76524255603630656
oct723444250561014
9135681282576114
1032131231441420
11a268862542151
12372b2b8493864
1314c0c67a2a6b7
147d1234a9b6d6
153aac18cb67ea
hex1d3922a2e20c

32131231441420 has 96 divisors (see below), whose sum is σ = 72416107008000. Its totient is φ = 11948654995200.

The previous prime is 32131231441399. The next prime is 32131231441489. The reversal of 32131231441420 is 2414413213123.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 912066 + ... + 8068105.

It is an arithmetic number, because the mean of its divisors is an integer number (754334448000).

Almost surely, 232131231441420 is an apocalyptic number.

It is an amenable number.

32131231441420 is an abundant number, since it is smaller than the sum of its proper divisors (40284875566580).

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

32131231441420 is a wasteful number, since it uses less digits than its factorization.

32131231441420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8980439 (or 8980437 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

Adding to 32131231441420 its reverse (2414413213123), we get a palindrome (34545644654543).

The spelling of 32131231441420 in words is "thirty-two trillion, one hundred thirty-one billion, two hundred thirty-one million, four hundred forty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 29 31 58 62 116 124 145 155 199 290 310 398 580 620 796 899 995 1798 1990 3596 3980 4495 5771 6169 8990 11542 12338 17980 23084 24676 28855 30845 57710 61690 115420 123380 178901 357802 715604 894505 1789010 3578020 8980171 17960342 35920684 44900855 89801710 179603420 260424959 278385301 520849918 556770602 1041699836 1113541204 1302124795 1391926505 1787054029 2604249590 2783853010 3574108058 5208499180 5567706020 7148216116 8073173729 8935270145 16146347458 17870540290 32292694916 35741080580 40365868645 51824566841 55398674899 80731737290 103649133682 110797349798 161463474580 207298267364 221594699596 259122834205 276993374495 518245668410 553986748990 1036491336820 1107973497980 1606561572071 3213123144142 6426246288284 8032807860355 16065615720710 32131231441420