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42200251341512 = 231179211103927689
BaseRepresentation
bin10011001100001100000101…
…11111011001101011001000
312112102022020002000000111212
421212012002333121223020
521012402103320412022
6225430310002312252
711613603365625635
oct1146060277315310
9175368202000455
1042200251341512
11124a00317a6710
124896836958688
131a7160b240194
14a5c70859518c
154d2ad326a3e2
hex266182fd9ac8

42200251341512 has 128 divisors (see below), whose sum is σ = 87913313280000. Its totient is φ = 18830542348800.

The previous prime is 42200251341503. The next prime is 42200251341517. The reversal of 42200251341512 is 21514315200224.

It is a super-2 number, since 2×422002513415122 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42200251341517) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1524066164 + ... + 1524093852.

It is an arithmetic number, because the mean of its divisors is an integer number (686822760000).

Almost surely, 242200251341512 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 42200251341512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43956656640000).

42200251341512 is an abundant number, since it is smaller than the sum of its proper divisors (45713061938488).

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

42200251341512 is a wasteful number, since it uses less digits than its factorization.

42200251341512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29035 (or 29031 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

Adding to 42200251341512 its reverse (21514315200224), we get a palindrome (63714566541736).

The spelling of 42200251341512 in words is "forty-two trillion, two hundred billion, two hundred fifty-one million, three hundred forty-one thousand, five hundred twelve".

Divisors: 1 2 4 8 11 22 44 79 88 158 211 316 422 632 844 869 1039 1688 1738 2078 2321 3476 4156 4642 6952 8312 9284 11429 16669 18568 22858 27689 33338 45716 55378 66676 82081 91432 110756 133352 164162 183359 219229 221512 304579 328324 366718 438458 609158 656648 733436 876916 902891 1218316 1466872 1753832 1805782 2187431 2411519 2436632 3611564 4374862 4823038 5842379 7223128 8749724 9646076 11684758 17319091 17499448 19292152 23369516 24061741 28768871 34638182 46739032 48123482 57537742 64266169 69276364 96246964 115075484 128532338 138552728 190510001 192493928 230150968 257064676 316457581 381020002 461547941 514129352 632915162 762040004 923095882 1265830324 1524080008 1846191764 2272740809 2531660648 3692383528 4545481618 5077027351 6070231781 9090963236 10154054702 12140463562 18181926472 20308109404 24280927124 25000148899 40616218808 48561854248 50000297798 66772549591 100000595596 133545099182 200001191192 267090198364 479548310699 534180396728 959096621398 1918193242796 3836386485592 5275031417689 10550062835378 21100125670756 42200251341512