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1457134822380 = 2235239217946633
BaseRepresentation
bin10101001101000100000…
…000001110001111101100
312011022010020020111102110
4111031010000032033230
5142333203003304010
63033222024124020
7210163105426146
oct25150400161754
95138106214373
101457134822380
11511a7068aa66
121b649b606610
13a753a896293
145075074dc96
1527d840a1120
hex1534400e3ec

1457134822380 has 96 divisors (see below), whose sum is σ = 4099016678400. Its totient is φ = 386757600768.

The previous prime is 1457134822307. The next prime is 1457134822427. The reversal of 1457134822380 is 832284317541.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31223544 + ... + 31270176.

It is an arithmetic number, because the mean of its divisors is an integer number (42698090400).

Almost surely, 21457134822380 is an apocalyptic number.

1457134822380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1457134822380 is an abundant number, since it is smaller than the sum of its proper divisors (2641881856020).

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

1457134822380 is a wasteful number, since it uses less digits than its factorization.

1457134822380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49063 (or 49061 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The spelling of 1457134822380 in words is "one trillion, four hundred fifty-seven billion, one hundred thirty-four million, eight hundred twenty-two thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 239 478 717 956 1195 1434 2179 2390 2868 3585 4358 4780 6537 7170 8716 10895 13074 14340 21790 26148 32685 43580 46633 65370 93266 130740 139899 186532 233165 279798 466330 520781 559596 699495 932660 1041562 1398990 1562343 2083124 2603905 2797980 3124686 5207810 6249372 7811715 10415620 11145287 15623430 22290574 31246860 33435861 44581148 55726435 66871722 101613307 111452870 133743444 167179305 203226614 222905740 304839921 334358610 406453228 508066535 609679842 668717220 1016133070 1219359684 1524199605 2032266140 3048399210 6096798420 24285580373 48571160746 72856741119 97142321492 121427901865 145713482238 242855803730 291426964476 364283705595 485711607460 728567411190 1457134822380