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14645231790 = 23571511932393
BaseRepresentation
bin11011010001110110…
…01000000010101110
31101210122120212012020
431220323020002232
5214443134404130
610421122051010
71025631262530
oct155073100256
941718525166
1014645231790
116235940452
122a087a9a66
1314c51b3737
149cd075850
155aaad7e10
hex368ec80ae

14645231790 has 128 divisors (see below), whose sum is σ = 40662300672. Its totient is φ = 3306700800.

The previous prime is 14645231737. The next prime is 14645231827. The reversal of 14645231790 is 9713254641.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6118834 + ... + 6121226.

It is an arithmetic number, because the mean of its divisors is an integer number (317674224).

Almost surely, 214645231790 is an apocalyptic number.

14645231790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14645231790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20331150336).

14645231790 is an abundant number, since it is smaller than the sum of its proper divisors (26017068882).

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

14645231790 is a wasteful number, since it uses less digits than its factorization.

14645231790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2754.

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 14645231790 in words is "fourteen billion, six hundred forty-five million, two hundred thirty-one thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 151 193 210 302 386 453 579 755 906 965 1057 1158 1351 1510 1930 2114 2265 2393 2702 2895 3171 4053 4530 4786 5285 5790 6342 6755 7179 8106 10570 11965 13510 14358 15855 16751 20265 23930 29143 31710 33502 35895 40530 50253 58286 71790 83755 87429 100506 145715 167510 174858 204001 251265 291430 361343 408002 437145 461849 502530 612003 722686 874290 923698 1020005 1084029 1224006 1385547 1806715 2040010 2168058 2309245 2529401 2771094 3060015 3232943 3613430 4618490 5058802 5420145 6120030 6465886 6927735 7588203 9698829 10840290 12647005 13855470 15176406 16164715 19397658 25294010 32329430 37941015 48494145 69739199 75882030 96988290 139478398 209217597 348695995 418435194 488174393 697391990 976348786 1046087985 1464523179 2092175970 2440871965 2929046358 4881743930 7322615895 14645231790