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40125310215012 = 223311332310164163
BaseRepresentation
bin10010001111110011001101…
…10111001010001101100100
312021001221102212012111101000
421013321212313022031210
520224403113403340022
6221201151341033300
711310646410226401
oct1107714667121544
9167057385174330
1040125310215012
1111870059608340
124600679255830
131950a53976b99
149ca10ab952a8
15498b40ea46ac
hex247e66dca364

40125310215012 has 96 divisors (see below), whose sum is σ = 113519888616960. Its totient is φ = 12155524619040.

The previous prime is 40125310214989. The next prime is 40125310215031. The reversal of 40125310215012 is 21051201352104.

It is a happy number.

40125310215012 is a `hidden beast` number, since 4 + 0 + 1 + 2 + 53 + 102 + 1 + 501 + 2 = 666.

It is a super-2 number, since 2×401253102150122 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 1134358 + ... + 9029805.

It is an arithmetic number, because the mean of its divisors is an integer number (1182498839760).

Almost surely, 240125310215012 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 40125310215012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56759944308480).

40125310215012 is an abundant number, since it is smaller than the sum of its proper divisors (73394578401948).

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

40125310215012 is a wasteful number, since it uses less digits than its factorization.

40125310215012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10167510 (or 10167502 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 40125310215012 its reverse (21051201352104), we get a palindrome (61176511567116).

The spelling of 40125310215012 in words is "forty trillion, one hundred twenty-five billion, three hundred ten million, two hundred fifteen thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 3323 6646 9969 13292 19938 29907 36553 39876 59814 73106 89721 109659 119628 146212 179442 219318 328977 358884 438636 657954 986931 1315908 1973862 3947724 10164163 20328326 30492489 40656652 60984978 91477467 111805793 121969956 182954934 223611586 274432401 335417379 365909868 447223172 548864802 670834758 1006252137 1097729604 1341669516 2012504274 3018756411 4025008548 6037512822 12075025644 33775513649 67551027298 101326540947 135102054596 202653081894 303979622841 371530650139 405306163788 607959245682 743061300278 911938868523 1114591950417 1215918491364 1486122600556 1823877737046 2229183900834 3343775851251 3647755474092 4458367801668 6687551702502 10031327553753 13375103405004 20062655107506 40125310215012