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30331412040 = 23352935324691
BaseRepresentation
bin11100001111111001…
…001001111001001000
32220021211220101020010
4130033321021321020
5444104320141130
621533431231520
72122432514466
oct341771117110
986254811203
1030331412040
1111955322886
125a65b185a0
132b24c407b7
14167a477836
15bc7c900b0
hex70fe49e48

30331412040 has 128 divisors (see below), whose sum is σ = 94402454400. Its totient is φ = 7787028480.

The previous prime is 30331412021. The next prime is 30331412051. The reversal of 30331412040 is 4021413303.

It is a junction number, because it is equal to n+sod(n) for n = 30331411998 and 30331412016.

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, 1216095 + ... + 1240785.

It is an arithmetic number, because the mean of its divisors is an integer number (737519175).

Almost surely, 230331412040 is an apocalyptic number.

30331412040 is a gapful number since it is divisible by the number (30) 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 30331412040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47201227200).

30331412040 is an abundant number, since it is smaller than the sum of its proper divisors (64071042360).

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

30331412040 is a wasteful number, since it uses less digits than its factorization.

30331412040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25087 (or 25083 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 30331412040 its reverse (4021413303), we get a palindrome (34352825343).

The spelling of 30331412040 in words is "thirty billion, three hundred thirty-one million, four hundred twelve thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 353 435 580 696 706 870 1059 1160 1412 1740 1765 2118 2824 3480 3530 4236 5295 7060 8472 10237 10590 14120 20474 21180 24691 30711 40948 42360 49382 51185 61422 74073 81896 98764 102370 122844 123455 148146 153555 197528 204740 245688 246910 296292 307110 370365 409480 493820 592584 614220 716039 740730 987640 1228440 1432078 1481460 2148117 2864156 2962920 3580195 4296234 5728312 7160390 8592468 8715923 10740585 14320780 17184936 17431846 21481170 26147769 28641560 34863692 42962340 43579615 52295538 69727384 85924680 87159230 104591076 130738845 174318460 209182152 252761767 261477690 348636920 505523534 522955380 758285301 1011047068 1045910760 1263808835 1516570602 2022094136 2527617670 3033141204 3791426505 5055235340 6066282408 7582853010 10110470680 15165706020 30331412040