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145794654787240 = 23573947292718013
BaseRepresentation
bin100001001001100101110110…
…100110111101011010101000
3201010012211111011112110120001
4201021211312212331122220
5123102144423111142430
61234025050105312344
742465213313220464
oct4111456646753250
9633184434473501
10145794654787240
114250019084aa98
1214427b92a956b4
1363474b9224534
1428006db1554a4
1511cc6c0b083ca
hex8499769bd6a8

145794654787240 has 128 divisors (see below), whose sum is σ = 333015001090560. Its totient is φ = 57435429832704.

The previous prime is 145794654787153. The next prime is 145794654787261. The reversal of 145794654787240 is 42787456497541.

145794654787240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (73).

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, 8093848474 + ... + 8093866486.

It is an arithmetic number, because the mean of its divisors is an integer number (2601679696020).

Almost surely, 2145794654787240 is an apocalyptic number.

145794654787240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145794654787240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166507500545280).

145794654787240 is an abundant number, since it is smaller than the sum of its proper divisors (187220346303320).

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

145794654787240 is a wasteful number, since it uses less digits than its factorization.

145794654787240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21971 (or 21967 counting only the distinct ones).

The product of its (nonzero) digits is 1896652800, while the sum is 73.

The spelling of 145794654787240 in words is "one hundred forty-five trillion, seven hundred ninety-four billion, six hundred fifty-four million, seven hundred eighty-seven thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 73 146 292 365 584 730 947 1460 1894 2920 2927 3788 4735 5854 7576 9470 11708 14635 18013 18940 23416 29270 36026 37880 58540 69131 72052 90065 117080 138262 144104 180130 213671 276524 345655 360260 427342 553048 691310 720520 854684 1068355 1314949 1382620 1709368 2136710 2629898 2765240 2771869 4273420 5259796 5543738 6574745 8546840 10519592 11087476 13149490 13859345 17058311 22174952 26298980 27718690 34116622 52597960 52724051 55437380 68233244 85291555 105448102 110874760 136466488 170583110 202346437 210896204 263620255 341166220 404692874 421792408 527240510 682332440 809385748 1011732185 1054481020 1245256703 1618771496 2023464370 2108962040 2490513406 3848855723 4046928740 4981026812 6226283515 7697711446 8093857480 9962053624 12452567030 15395422892 19244278615 24905134060 30790845784 38488557230 49810268120 49929676297 76977114460 99859352594 153954228920 199718705188 249648381485 399437410376 499296762970 998593525940 1997187051880 3644866369681 7289732739362 14579465478724 18224331848405 29158930957448 36448663696810 72897327393620 145794654787240