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42044201304 = 233717131911161
BaseRepresentation
bin100111001010000001…
…111001100101011000
311000112010120201111220
4213022001321211120
51142101303420204
631152001052040
73015615546240
oct471201714530
9130463521456
1042044201304
1116915945806
128194627020
133c70734831
14206bc90b20
1511611cb1d9
hex9ca079958

42044201304 has 128 divisors (see below), whose sum is σ = 127300377600. Its totient is φ = 11296419840.

The previous prime is 42044201239. The next prime is 42044201317. The reversal of 42044201304 is 40310244024.

It is a happy number.

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

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, 3761484 + ... + 3772644.

It is an arithmetic number, because the mean of its divisors is an integer number (994534200).

Almost surely, 242044201304 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 42044201304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63650188800).

42044201304 is an abundant number, since it is smaller than the sum of its proper divisors (85256176296).

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

42044201304 is a wasteful number, since it uses less digits than its factorization.

42044201304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12513 (or 12509 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 42044201304 its reverse (40310244024), we get a palindrome (82354445328).

The spelling of 42044201304 in words is "forty-two billion, forty-four million, two hundred one thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 119 136 168 204 238 357 408 476 714 952 1319 1428 2638 2856 3957 5276 7914 9233 10552 11161 15828 18466 22322 22423 27699 31656 33483 36932 44644 44846 55398 66966 67269 73864 78127 89288 89692 110796 133932 134538 156254 156961 179384 189737 221592 234381 267864 269076 312508 313922 379474 468762 470883 538152 569211 625016 627844 758948 937524 941766 1138422 1255688 1328159 1517896 1875048 1883532 2276844 2656318 3767064 3984477 4553688 5312636 7968954 10625272 14721359 15937908 29442718 31875816 44164077 58885436 88328154 103049513 117770872 176656308 206099026 250263103 309148539 353312616 412198052 500526206 618297078 750789309 824396104 1001052412 1236594156 1501578618 1751841721 2002104824 2473188312 3003157236 3503683442 5255525163 6006314472 7007366884 10511050326 14014733768 21022100652 42044201304