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42113551040 = 2651197123341
BaseRepresentation
bin100111001110001010…
…011100101011000000
311000200222002001110122
4213032022130223000
51142222032113130
631202515315412
73020420164121
oct471612345300
9130628061418
1042113551040
1116951002240
1281b38abb68
133c81c06392
142077184048
1511673292e5
hex9ce29cac0

42113551040 has 112 divisors (see below), whose sum is σ = 110528246304. Its totient is φ = 15156019200.

The previous prime is 42113551037. The next prime is 42113551061. The reversal of 42113551040 is 4015531124.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 279770 + ... + 403110.

It is an arithmetic number, because the mean of its divisors is an integer number (986859342).

Almost surely, 242113551040 is an apocalyptic number.

42113551040 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 42113551040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55264123152).

42113551040 is an abundant number, since it is smaller than the sum of its proper divisors (68414695264).

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

42113551040 is a wasteful number, since it uses less digits than its factorization.

42113551040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123466 (or 123456 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The spelling of 42113551040 in words is "forty-two billion, one hundred thirteen million, five hundred fifty-one thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 97 110 160 176 194 220 320 352 388 440 485 704 776 880 970 1067 1552 1760 1940 2134 3104 3520 3880 4268 5335 6208 7760 8536 10670 15520 17072 21340 31040 34144 42680 68288 85360 123341 170720 246682 341440 493364 616705 986728 1233410 1356751 1973456 2466820 2713502 3946912 4933640 5427004 6783755 7893824 9867280 10854008 11964077 13567510 19734560 21708016 23928154 27135020 39469120 43416032 47856308 54270040 59820385 86832064 95712616 108540080 119640770 131604847 191425232 217080160 239281540 263209694 382850464 434160320 478563080 526419388 658024235 765700928 957126160 1052838776 1316048470 1914252320 2105677552 2632096940 3828504640 4211355104 5264193880 8422710208 10528387760 21056775520 42113551040