Search a number
-
+
464145630255435 = 351943472100138371
BaseRepresentation
bin110100110001000110101001…
…1011010100101100101001011
32020212101220000000100211021110
41221202031103122211211023
5441314030222321133220
64323053320421141403
7166523262255551322
oct15142152332454513
92225356000324243
10464145630255435
11124989069033777
124408264855a863
1316bca98c07543b
148288aa85910b9
15389d75dd0bbe0
hex1a623536a594b

464145630255435 has 128 divisors (see below), whose sum is σ = 816977773117440. Its totient is φ = 224171660160000.

The previous prime is 464145630255409. The next prime is 464145630255443. The reversal of 464145630255435 is 534552036541464.

It is not a de Polignac number, because 464145630255435 - 25 = 464145630255403 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12096241800 + ... + 12096280170.

It is an arithmetic number, because the mean of its divisors is an integer number (6382638852480).

Almost surely, 2464145630255435 is an apocalyptic number.

464145630255435 is a deficient number, since it is larger than the sum of its proper divisors (352832142862005).

464145630255435 is a wasteful number, since it uses less digits than its factorization.

464145630255435 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59489.

The product of its (nonzero) digits is 103680000, while the sum is 57.

Adding to 464145630255435 its reverse (534552036541464), we get a palindrome (998697666796899).

The spelling of 464145630255435 in words is "four hundred sixty-four trillion, one hundred forty-five billion, six hundred thirty million, two hundred fifty-five thousand, four hundred thirty-five".

Divisors: 1 3 5 15 19 43 47 57 95 129 141 215 235 285 645 705 817 893 2021 2451 2679 4085 4465 6063 10105 12255 13395 21001 30315 38371 38399 63003 105005 115113 115197 191855 191995 315015 399019 575565 575985 729049 903043 987047 1197057 1649953 1803437 1995095 2187147 2709129 2961141 3645245 4515215 4935235 4949859 5410311 5985285 8249765 9017185 10935735 13545645 14805705 17157817 18753893 24749295 27051555 31349107 34265303 42443021 51473451 56261679 77547791 85789085 93769465 94047321 102795909 127329063 156745535 171326515 212215105 232643373 257367255 281308395 387738955 470236605 513979545 636645315 805829371 806417399 1163216865 1473408029 2417488113 2419252197 4029146855 4032086995 4420224087 7367040145 12087440565 12096260985 15310758049 22101120435 34650662953 37873980437 45932274147 76553790245 103951988859 113621941311 173253314765 189369902185 229661370735 519759944295 568109706555 658362596107 719605628303 1628581158791 1975087788321 2158816884909 3291812980535 3598028141515 4885743476373 8142905793955 9875438941605 10794084424545 24428717381865 30943042017029 92829126051087 154715210085145 464145630255435