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42503033040 = 24351315190217
BaseRepresentation
bin100111100101011000…
…001101000011010000
311001201002221210022220
4213211120031003100
51144021234024130
631305311301040
73033156551136
oct474530150320
9131632853286
1042503033040
1117030943896
1282a221a780
1340148043c0
1420b2bab756
15118b611410
hex9e560d0d0

42503033040 has 160 divisors (see below), whose sum is σ = 142836024576. Its totient is φ = 10392883200.

The previous prime is 42503033039. The next prime is 42503033059. The reversal of 42503033040 is 4033030524.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 42503033040.

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, 426012 + ... + 516228.

Almost surely, 242503033040 is an apocalyptic number.

42503033040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42503033040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71418012288).

42503033040 is an abundant number, since it is smaller than the sum of its proper divisors (100332991536).

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

42503033040 is a wasteful number, since it uses less digits than its factorization.

42503033040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90397 (or 90391 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 24.

Adding to 42503033040 its reverse (4033030524), we get a palindrome (46536063564).

The spelling of 42503033040 in words is "forty-two billion, five hundred three million, thirty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 151 156 195 208 240 260 302 312 390 453 520 604 624 755 780 906 1040 1208 1510 1560 1812 1963 2265 2416 3020 3120 3624 3926 4530 5889 6040 7248 7852 9060 9815 11778 12080 15704 18120 19630 23556 29445 31408 36240 39260 47112 58890 78520 90217 94224 117780 157040 180434 235560 270651 360868 451085 471120 541302 721736 902170 1082604 1172821 1353255 1443472 1804340 2165208 2345642 2706510 3518463 3608680 4330416 4691284 5413020 5864105 7036926 7217360 9382568 10826040 11728210 13622767 14073852 17592315 18765136 21652080 23456420 27245534 28147704 35184630 40868301 46912840 54491068 56295408 68113835 70369260 81736602 93825680 108982136 136227670 140738520 163473204 177095971 204341505 217964272 272455340 281477040 326946408 354191942 408683010 531287913 544910680 653892816 708383884 817366020 885479855 1062575826 1089821360 1416767768 1634732040 1770959710 2125151652 2656439565 2833535536 3269464080 3541919420 4250303304 5312879130 7083838840 8500606608 10625758260 14167677680 21251516520 42503033040