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1442093264820 = 2233513205426391
BaseRepresentation
bin10100111111000011011…
…101001110111110110100
312002212021221220012111000
4110333003131032332310
5142111401333433240
63022253303243300
7206121262333515
oct24770335167664
95085257805430
101442093264820
1150665206415a
121b35a2149530
13a5cb1559770
144db24bcca0c
15277a37cd430
hex14fc374efb4

1442093264820 has 96 divisors (see below), whose sum is σ = 4831628739840. Its totient is φ = 354976801920.

The previous prime is 1442093264813. The next prime is 1442093264849. The reversal of 1442093264820 is 284623902441.

1442093264820 is a `hidden beast` number, since 1 + 4 + 420 + 93 + 2 + 64 + 82 + 0 = 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 31 ways as a sum of consecutive naturals, for example, 102706176 + ... + 102720215.

It is an arithmetic number, because the mean of its divisors is an integer number (50329466040).

Almost surely, 21442093264820 is an apocalyptic number.

1442093264820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1442093264820 is an abundant number, since it is smaller than the sum of its proper divisors (3389535475020).

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

1442093264820 is a wasteful number, since it uses less digits than its factorization.

1442093264820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205426422 (or 205426414 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 1442093264820 in words is "one trillion, four hundred forty-two billion, ninety-three million, two hundred sixty-four thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 180 195 234 260 270 351 390 468 540 585 702 780 1170 1404 1755 2340 3510 7020 205426391 410852782 616279173 821705564 1027131955 1232558346 1848837519 2054263910 2465116692 2670543083 3081395865 3697675038 4108527820 5341086166 5546512557 6162791730 7395350076 8011629249 9244187595 10682172332 11093025114 12325583460 13352715415 16023258498 18488375190 22186050228 24034887747 26705430830 27732562785 32046516996 36976750380 40058146245 48069775494 53410861660 55465125570 72104663241 80116292490 96139550988 110930251140 120174438735 144209326482 160232584980 240348877470 288418652964 360523316205 480697754940 721046632410 1442093264820