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42200145702 = 232111329565337
BaseRepresentation
bin100111010011010100…
…110001111100100110
311000221000000112000100
4213103110301330212
51142411214130302
631215251324530
73022521214521
oct472324617446
9130830015010
1042200145702
1116995978080
1282188b0746
133c96b35320
142084885bb8
15116ec31d1c
hex9d3531f26

42200145702 has 96 divisors (see below), whose sum is σ = 111122837280. Its totient is φ = 11397173760.

The previous prime is 42200145697. The next prime is 42200145703. The reversal of 42200145702 is 20754100224.

42200145702 is a `hidden beast` number, since 4 + 2 + 200 + 1 + 457 + 0 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42200145703) 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, 208023 + ... + 357314.

It is an arithmetic number, because the mean of its divisors is an integer number (1157529555).

Almost surely, 242200145702 is an apocalyptic number.

42200145702 is an abundant number, since it is smaller than the sum of its proper divisors (68922691578).

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

42200145702 is a wasteful number, since it uses less digits than its factorization.

42200145702 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565398 (or 565395 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

Adding to 42200145702 its reverse (20754100224), we get a palindrome (62954245926).

The spelling of 42200145702 in words is "forty-two billion, two hundred million, one hundred forty-five thousand, seven hundred two".

Divisors: 1 2 3 6 9 11 13 18 22 26 29 33 39 58 66 78 87 99 117 143 174 198 234 261 286 319 377 429 522 638 754 858 957 1131 1287 1914 2262 2574 2871 3393 4147 5742 6786 8294 12441 24882 37323 74646 565337 1130674 1696011 3392022 5088033 6218707 7349381 10176066 12437414 14698762 16394773 18656121 22048143 32789546 37312242 44096286 49184319 55968363 66144429 80843191 98368638 111936726 132288858 147552957 161686382 180342503 213132049 242529573 295105914 360685006 426264098 485059146 541027509 639396147 727588719 1082055018 1278792294 1455177438 1623082527 1918188441 2344452539 3246165054 3836376882 4688905078 7033357617 14066715234 21100072851 42200145702