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1460213541990 = 232576734594019
BaseRepresentation
bin10101001111111011100…
…000100110110001100110
312011121001210101122202200
4111033323200212301212
5142411004131320430
63034451323515330
7210332311213110
oct25177340466146
95147053348680
101460213541990
11513300527635
121b6bba688b46
13a790b680168
14509635a83b0
1527eb44e4460
hex153fb826c66

1460213541990 has 96 divisors (see below), whose sum is σ = 4403680369920. Its totient is φ = 328781547072.

The previous prime is 1460213541977. The next prime is 1460213542019. The reversal of 1460213541990 is 991453120641.

1460213541990 is a `hidden beast` number, since 1 + 4 + 6 + 0 + 2 + 13 + 541 + 9 + 90 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17254800 + ... + 17339219.

It is an arithmetic number, because the mean of its divisors is an integer number (45871670520).

Almost surely, 21460213541990 is an apocalyptic number.

1460213541990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1460213541990 is an abundant number, since it is smaller than the sum of its proper divisors (2943466827930).

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

1460213541990 is a wasteful number, since it uses less digits than its factorization.

1460213541990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34594106 (or 34594103 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 1460213541990 in words is "one trillion, four hundred sixty billion, two hundred thirteen million, five hundred forty-one thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 67 70 90 105 126 134 201 210 315 335 402 469 603 630 670 938 1005 1206 1407 2010 2345 2814 3015 4221 4690 6030 7035 8442 14070 21105 42210 34594019 69188038 103782057 172970095 207564114 242158133 311346171 345940190 484316266 518910285 622692342 726474399 1037820570 1210790665 1452948798 1556730855 2179423197 2317799273 2421581330 3113461710 3632371995 4358846394 4635598546 6953397819 7264743990 10897115985 11588996365 13906795638 16224594911 20860193457 21794231970 23177992730 32449189822 34766989095 41720386914 48673784733 69533978190 81122974555 97347569466 104300967285 146021354199 162245949110 208601934570 243368923665 292042708398 486737847330 730106770995 1460213541990