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42031431312 = 243131729313523
BaseRepresentation
bin100111001001010001…
…001011111010010000
311000111020112221101020
4213021101023322100
51142040021300222
631150423235440
73015402162033
oct471121137220
9130436487336
1042031431312
11169097134a2
1281902a8b80
133c6abb3220
14206a2c901a
15116000765c
hex9c944be90

42031431312 has 160 divisors (see below), whose sum is σ = 124243797888. Its totient is φ = 12129558528.

The previous prime is 42031431293. The next prime is 42031431359. The reversal of 42031431312 is 21313413024.

It is a happy number.

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

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, 3101383 + ... + 3114905.

Almost surely, 242031431312 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 42031431312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62121898944).

42031431312 is an abundant number, since it is smaller than the sum of its proper divisors (82212366576).

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

42031431312 is a wasteful number, since it uses less digits than its factorization.

42031431312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13857 (or 13851 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 42031431312 its reverse (21313413024), we get a palindrome (63344844336).

The spelling of 42031431312 in words is "forty-two billion, thirty-one million, four hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 34 39 48 51 52 68 78 102 104 136 156 204 208 221 272 293 312 408 442 586 624 663 816 879 884 1172 1326 1758 1768 2344 2652 3516 3536 3809 4688 4981 5304 7032 7618 9962 10608 11427 13523 14064 14943 15236 19924 22854 27046 29886 30472 39848 40569 45708 54092 59772 60944 64753 79696 81138 91416 108184 119544 129506 162276 175799 182832 194259 216368 229891 239088 259012 324552 351598 388518 459782 518024 527397 649104 689673 703196 777036 919564 1036048 1054794 1379346 1406392 1554072 1839128 2109588 2758692 2812784 2988583 3108144 3678256 3962239 4219176 5517384 5977166 7924478 8438352 8965749 11034768 11886717 11954332 15848956 17931498 23773434 23908664 31697912 35862996 47546868 47817328 51509107 63395824 67358063 71725992 95093736 103018214 134716126 143451984 154527321 190187472 202074189 206036428 269432252 309054642 404148378 412072856 538864504 618109284 808296756 824145712 875654819 1077729008 1236218568 1616593512 1751309638 2472437136 2626964457 3233187024 3502619276 5253928914 7005238552 10507857828 14010477104 21015715656 42031431312