Search a number
-
+
2430132404112 = 24337839682111
BaseRepresentation
bin100011010111001111001…
…011011011111110010000
322121022121002211221122000
4203113033023123332100
5304303402343412422
65100215403114000
7340366642420530
oct43271713337620
98538532757560
102430132404112
118576824303a6
12332b86512900
1314821181561a
14858948c54c0
154332ee55cac
hex235cf2dbf90

2430132404112 has 160 divisors (see below), whose sum is σ = 8067910287360. Its totient is φ = 685958129280.

The previous prime is 2430132404087. The next prime is 2430132404123. The reversal of 2430132404112 is 2114042310342.

2430132404112 is a `hidden beast` number, since 2 + 4 + 3 + 0 + 1 + 3 + 240 + 411 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 4590064 + ... + 5092047.

It is an arithmetic number, because the mean of its divisors is an integer number (50424439296).

Almost surely, 22430132404112 is an apocalyptic number.

It is an amenable number.

2430132404112 is an abundant number, since it is smaller than the sum of its proper divisors (5637777883248).

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

2430132404112 is a wasteful number, since it uses less digits than its factorization.

2430132404112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9682218 (or 9682206 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 2430132404112 its reverse (2114042310342), we get a palindrome (4544174714454).

The spelling of 2430132404112 in words is "two trillion, four hundred thirty billion, one hundred thirty-two million, four hundred four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 83 84 108 112 126 144 166 168 189 216 249 252 332 336 378 432 498 504 581 664 747 756 996 1008 1162 1328 1494 1512 1743 1992 2241 2324 2988 3024 3486 3984 4482 4648 5229 5976 6972 8964 9296 10458 11952 13944 15687 17928 20916 27888 31374 35856 41832 62748 83664 125496 250992 9682111 19364222 29046333 38728444 58092666 67774777 77456888 87138999 116185332 135549554 154913776 174277998 203324331 232370664 261416997 271099108 348555996 406648662 464741328 522833994 542198216 609972993 697111992 803615213 813297324 1045667988 1084396432 1219945986 1394223984 1607230426 1626594648 1829918979 2091335976 2410845639 2439891972 3214460852 3253189296 3659837958 4182671952 4821691278 4879783944 5625306491 6428921704 7232536917 7319675916 9643382556 9759567888 11250612982 12857843408 14465073834 14639351832 16875919473 19286765112 21697610751 22501225964 28930147668 29278703664 33751838946 38573530224 43395221502 45002451928 50627758419 57860295336 67503677892 86790443004 90004903856 101255516838 115720590672 135007355784 151883275257 173580886008 202511033676 270014711568 303766550514 347161772016 405022067352 607533101028 810044134704 1215066202056 2430132404112