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40134827052078 = 23111767977546461
BaseRepresentation
bin10010010000000100111100…
…00111000000110000101110
312021002212000002210220112220
421020002132013000300232
520230032111211131303
6221205403543540210
711311434300061143
oct1110023607006056
9167085002726486
1040134827052078
11118740a2615940
12460249445a666
13195190c525b15
149ca770aa63ca
15498eeb723053
hex24809e1c0c2e

40134827052078 has 128 divisors (see below), whose sum is σ = 94198227734016. Its totient is φ = 11264245555200.

The previous prime is 40134827052041. The next prime is 40134827052091. The reversal of 40134827052078 is 87025072843104.

It is a happy number.

It is a super-2 number, since 2×401348270520782 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 40134827052078.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 73171768 + ... + 73718228.

It is an arithmetic number, because the mean of its divisors is an integer number (735923654172).

Almost surely, 240134827052078 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40134827052078, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47099113867008).

40134827052078 is an abundant number, since it is smaller than the sum of its proper divisors (54063400681938).

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

40134827052078 is a wasteful number, since it uses less digits than its factorization.

40134827052078 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547538.

The product of its (nonzero) digits is 3010560, while the sum is 51.

The spelling of 40134827052078 in words is "forty trillion, one hundred thirty-four billion, eight hundred twenty-seven million, fifty-two thousand, seventy-eight".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 67 102 134 187 201 374 402 561 737 977 1122 1139 1474 1954 2211 2278 2931 3417 4422 5862 6834 10747 12529 16609 21494 25058 32241 33218 37587 49827 64482 65459 75174 99654 130918 182699 196377 365398 392754 546461 548097 720049 1092922 1096194 1112803 1440098 1639383 2160147 2225606 3278766 3338409 4320294 6011071 6676818 9289837 12022142 12240833 18033213 18579674 24481666 27869511 36066426 36612887 36722499 55739022 73225774 73444998 102188207 109838661 204376414 219677322 306564621 402741757 533892397 613129242 622419079 805483514 1067784794 1208225271 1244838158 1601677191 1867257237 2416450542 3203354382 3734514474 5872816367 6846609869 9076170749 11745632734 13693219738 17618449101 18152341498 20539829607 27228512247 35236898202 35770790599 41079659214 54457024494 71541581198 99837878239 107312371797 199675756478 214624743594 299513634717 393478696589 599027269434 608103440183 786957393178 1180436089767 1216206880366 1824310320549 2360872179534 3648620641098 6689137842013 13378275684026 20067413526039 40134827052078