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40158424287306 = 23313318681212573
BaseRepresentation
bin10010010000110000111001…
…00111010100100001001010
312021012002220122011122212000
421020120130213110201022
520230423423104143211
6221224305254331430
711313231122213253
oct1110303447244112
9167162818148760
1040158424287306
1111883101644a36
124606b7b059b76
131953c002532c0
149cb96ca1bb2a
1549992d1a6656
hex24861c9d484a

40158424287306 has 128 divisors (see below), whose sum is σ = 99217707079680. Its totient is φ = 11956409740800.

The previous prime is 40158424287259. The next prime is 40158424287329. The reversal of 40158424287306 is 60378242485104.

40158424287306 is a `hidden beast` number, since 4 + 0 + 1 + 58 + 4 + 2 + 4 + 287 + 306 = 666.

It is a super-2 number, since 2×401584242873062 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 188809636 + ... + 189022208.

It is an arithmetic number, because the mean of its divisors is an integer number (775138336560).

Almost surely, 240158424287306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40158424287306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49608853539840).

40158424287306 is an abundant number, since it is smaller than the sum of its proper divisors (59059282792374).

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

40158424287306 is a wasteful number, since it uses less digits than its factorization.

40158424287306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221309 (or 221303 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 40158424287306 in words is "forty trillion, one hundred fifty-eight billion, four hundred twenty-four million, two hundred eighty-seven thousand, three hundred six".

Divisors: 1 2 3 6 9 13 18 26 27 31 39 54 62 78 93 117 186 234 279 351 403 558 702 806 837 1209 1674 2418 3627 7254 8681 10881 17362 21762 26043 52086 78129 112853 156258 212573 225706 234387 269111 338559 425146 468774 538222 637719 677118 807333 1015677 1275438 1614666 1913157 2031354 2421999 2763449 3047031 3498443 3826314 4843998 5526898 5739471 6094062 6589763 6996886 7265997 8290347 10495329 11478942 13179526 14531994 16580694 19769289 20990658 24871041 31485987 39538578 49742082 59307867 62971974 74613123 85666919 94457961 118615734 149226246 171333838 177923601 188915922 257000757 355847202 514001514 771002271 1542004542 1845346213 2313006813 3690692426 4626013626 5536038639 11072077278 16608115917 23989500769 33216231834 47979001538 49824347751 57205732603 71968502307 99648695502 114411465206 143937004614 171617197809 215905506921 343234395618 431811013842 514851593427 647716520763 743674523839 1029703186854 1295433041526 1487349047678 1544554780281 2231023571517 3089109560562 4462047143034 6693070714551 13386141429102 20079212143653 40158424287306