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42039032220 = 223253711175651
BaseRepresentation
bin100111001001101110…
…001011100110011100
311000111202212002212100
4213021232023212130
51142043443012340
631151254205100
73015523610103
oct471156134634
9130452762770
1042039032220
1116912a35139
128192953790
133c6c644ac3
14206b30703a
151160a09830
hex9c9b8b99c

42039032220 has 144 divisors (see below), whose sum is σ = 131105284128. Its totient is φ = 10895731200.

The previous prime is 42039032219. The next prime is 42039032221. The reversal of 42039032220 is 2223093024.

42039032220 is a `hidden beast` number, since 4 + 20 + 390 + 32 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (42039032219) and next prime (42039032221).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42039032221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7436395 + ... + 7442045.

It is an arithmetic number, because the mean of its divisors is an integer number (910453362).

Almost surely, 242039032220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42039032220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65552642064).

42039032220 is an abundant number, since it is smaller than the sum of its proper divisors (89066251908).

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

42039032220 is a wasteful number, since it uses less digits than its factorization.

42039032220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6820 (or 6815 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The spelling of 42039032220 in words is "forty-two billion, thirty-nine million, thirty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1117 1332 1665 2220 2234 3330 3351 4468 5585 5651 6660 6702 10053 11170 11302 13404 16755 16953 20106 22340 22604 28255 33510 33906 40212 41329 50265 50859 56510 67020 67812 82658 84765 100530 101718 113020 123987 165316 169530 201060 203436 206645 209087 247974 254295 339060 371961 413290 418174 495948 508590 619935 627261 743922 826580 836348 1017180 1045435 1239870 1254522 1487844 1859805 1881783 2090870 2479740 2509044 3136305 3719610 3763566 4181740 6272610 6312167 7439220 7527132 9408915 12545220 12624334 18817830 18936501 25248668 31560835 37635660 37873002 56809503 63121670 75746004 94682505 113619006 126243340 189365010 227238012 233550179 284047515 378730020 467100358 568095030 700650537 934200716 1136190060 1167750895 1401301074 2101951611 2335501790 2802602148 3503252685 4203903222 4671003580 7006505370 8407806444 10509758055 14013010740 21019516110 42039032220