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42221521431512 = 23178915127185243
BaseRepresentation
bin10011001100110011101101…
…10010010110101111011000
312112111100010102102112200222
421212121312302112233120
521013224133441302022
6225444144342215212
711615255442461063
oct1146316662265730
9175440112375628
1042221521431512
11124a9057154095
12489a992124508
131a7361aaaca57
14a5d7654138da
154d342a769242
hex266676c96bd8

42221521431512 has 128 divisors (see below), whose sum is σ = 85641168844800. Its totient is φ = 19443359232000.

The previous prime is 42221521431511. The next prime is 42221521431533. The reversal of 42221521431512 is 21513412512224.

It is a super-2 number, since 2×422215214315122 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42221521431511) 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, 495265163 + ... + 495350405.

It is an arithmetic number, because the mean of its divisors is an integer number (669071631600).

Almost surely, 242221521431512 is an apocalyptic number.

It is an amenable number.

42221521431512 is an abundant number, since it is smaller than the sum of its proper divisors (43419647413288).

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

42221521431512 is a wasteful number, since it uses less digits than its factorization.

42221521431512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85777 (or 85773 counting only the distinct ones).

The product of its digits is 38400, while the sum is 35.

Adding to 42221521431512 its reverse (21513412512224), we get a palindrome (63734933943736).

The spelling of 42221521431512 in words is "forty-two trillion, two hundred twenty-one billion, five hundred twenty-one million, four hundred thirty-one thousand, five hundred twelve".

Divisors: 1 2 4 8 17 34 68 89 136 151 178 271 302 356 542 604 712 1084 1208 1513 2168 2567 3026 4607 5134 6052 9214 10268 12104 13439 18428 20536 24119 26878 36856 40921 48238 53756 81842 85243 96476 107512 163684 170486 192952 228463 327368 340972 410023 456926 681944 695657 820046 913852 1391314 1449131 1640092 1827704 2782628 2898262 3280184 3641969 5565256 5796524 7283938 7586627 11593048 12871693 14567876 15173254 23100853 25743386 29135752 30346508 46201706 51486772 60693016 61913473 92403412 102973544 123826946 128972659 184806824 218818781 247653892 257945318 392714501 437637562 495307784 515890636 785429002 875275124 1031781272 1145580677 1570858004 1750550248 2055975917 2291161354 3141716008 3488228803 4111951834 4582322708 6976457606 8223903668 9164645416 13952915212 16447807336 19474871509 27905830424 34951590589 38949743018 59299889651 69903181178 77899486036 118599779302 139806362356 155798972072 237199558604 279612724712 310452363467 474399117208 620904726934 1241809453868 2483618907736 5277690178939 10555380357878 21110760715756 42221521431512