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42838035840 = 27345826351
BaseRepresentation
bin100111111001010110…
…001000110110000000
311002120110022200210000
4213321112020312000
51200213014121330
631402435440000
73044365203525
oct477126106600
9132513280700
1042838035840
1117192a55406
128376456000
134069039302
14210549314c
1511aac36560
hex9f9588d80

42838035840 has 160 divisors (see below), whose sum is σ = 152982545760. Its totient is φ = 11423462400.

The previous prime is 42838035833. The next prime is 42838035881. The reversal of 42838035840 is 4853083824.

It is a tau number, because it is divible by the number of its divisors (160).

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 19 ways as a sum of consecutive naturals, for example, 361336 + ... + 465015.

It is an arithmetic number, because the mean of its divisors is an integer number (956140911).

Almost surely, 242838035840 is an apocalyptic number.

42838035840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42838035840 is an abundant number, since it is smaller than the sum of its proper divisors (110144509920).

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

42838035840 is an equidigital number, since it uses as much as digits as its factorization.

42838035840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826382 (or 826361 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 42838035840 in words is "forty-two billion, eight hundred thirty-eight million, thirty-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 128 135 144 160 162 180 192 216 240 270 288 320 324 360 384 405 432 480 540 576 640 648 720 810 864 960 1080 1152 1296 1440 1620 1728 1920 2160 2592 2880 3240 3456 4320 5184 5760 6480 8640 10368 12960 17280 25920 51840 826351 1652702 2479053 3305404 4131755 4958106 6610808 7437159 8263510 9916212 12395265 13221616 14874318 16527020 19832424 22311477 24790530 26443232 29748636 33054040 37185795 39664848 44622954 49581060 52886464 59497272 66108080 66934431 74371590 79329696 89245908 99162120 105772928 111557385 118994544 132216160 133868862 148743180 158659392 178491816 198324240 223114770 237989088 264432320 267737724 297486360 317318784 334672155 356983632 396648480 446229540 475978176 528864640 535475448 594972720 669344310 713967264 793296960 892459080 951956352 1070950896 1189945440 1338688620 1427934528 1586593920 1784918160 2141901792 2379890880 2677377240 2855869056 3569836320 4283803584 4759781760 5354754480 7139672640 8567607168 10709508960 14279345280 21419017920 42838035840