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42316426240 = 210511751357
BaseRepresentation
bin100111011010010000…
…010110110000000000
311001020002211011220221
4213122100112300000
51143131001114430
631235003512424
73025432455034
oct473220266000
9131202734827
1042316426240
1116a455793a0
12824b828714
133cb4c5928a
1420960b41c4
15117a05057a
hex9da416c00

42316426240 has 88 divisors (see below), whose sum is σ = 110738147472. Its totient is φ = 15387770880.

The previous prime is 42316426223. The next prime is 42316426297. The reversal of 42316426240 is 4262461324.

It is a tau number, because it is divible by the number of its divisors (88).

It is a junction number, because it is equal to n+sod(n) for n = 42316426196 and 42316426205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 319359 + ... + 431998.

Almost surely, 242316426240 is an apocalyptic number.

42316426240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42316426240 is an abundant number, since it is smaller than the sum of its proper divisors (68421721232).

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

42316426240 is a wasteful number, since it uses less digits than its factorization.

42316426240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751393 (or 751375 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

Adding to 42316426240 its reverse (4262461324), we get a palindrome (46578887564).

The spelling of 42316426240 in words is "forty-two billion, three hundred sixteen million, four hundred twenty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 512 640 704 880 1024 1280 1408 1760 2560 2816 3520 5120 5632 7040 11264 14080 28160 56320 751357 1502714 3005428 3756785 6010856 7513570 8264927 12021712 15027140 16529854 24043424 30054280 33059708 41324635 48086848 60108560 66119416 82649270 96173696 120217120 132238832 165298540 192347392 240434240 264477664 330597080 384694784 480868480 528955328 661194160 769389568 961736960 1057910656 1322388320 1923473920 2115821312 2644776640 3846947840 4231642624 5289553280 8463285248 10579106560 21158213120 42316426240