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140434311121302 = 231159714943102761
BaseRepresentation
bin11111111011100101101001…
…001110101000100110010110
3200102020101111121020110121110
4133323211221032220212112
5121401333432121340202
61214402344253355450
741403021100641522
oct3773455116504626
9612211447213543
10140434311121302
1140823947570940
121390113a798b86
136048b8b628383
1426970b22b8d82
15113804323d26c
hex7fb9693a8996

140434311121302 has 128 divisors (see below), whose sum is σ = 316051058442240. Its totient is φ = 41236601504000.

The previous prime is 140434311121277. The next prime is 140434311121303. The reversal of 140434311121302 is 203121113434041.

It is a super-2 number, since 2×1404343111213022 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 140434311121302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140434311121303) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1366559602 + ... + 1366662362.

It is an arithmetic number, because the mean of its divisors is an integer number (2469148894080).

Almost surely, 2140434311121302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140434311121302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158025529221120).

140434311121302 is an abundant number, since it is smaller than the sum of its proper divisors (175616747320938).

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

140434311121302 is a wasteful number, since it uses less digits than its factorization.

140434311121302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107850.

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 140434311121302 its reverse (203121113434041), we get a palindrome (343555424555343).

The spelling of 140434311121302 in words is "one hundred forty trillion, four hundred thirty-four billion, three hundred eleven million, one hundred twenty-one thousand, three hundred two".

Divisors: 1 2 3 6 11 22 33 59 66 71 118 142 177 213 354 426 649 781 1298 1562 1947 2343 3894 4189 4686 4943 8378 9886 12567 14829 25134 29658 46079 54373 92158 102761 108746 138237 163119 205522 276474 291637 308283 326238 350953 583274 616566 701906 874911 1052859 1130371 1749822 2105718 2260742 3208007 3391113 3860483 6062899 6416014 6782226 7296031 7720966 9624021 11581449 12125798 14592062 18188697 19248042 20706227 21888093 23162898 36377394 41412454 43776186 62118681 66691889 80256341 124237362 133383778 160512682 200075667 227768497 240769023 400151334 430465829 455536994 481538046 507947623 683305491 860931658 1015895246 1291397487 1366610982 1523842869 2582794974 3047685738 4735124119 5587423853 9470248238 11174847706 14205372357 16762271559 28410744714 29968909757 33524543118 36064281233 59937819514 72128562466 89906729271 108192843699 179813458542 216385687398 329658007327 396707093563 659316014654 793414187126 988974021981 1190121280689 1977948043962 2127792592747 2380242561378 4255585185494 6383377778241 12766755556482 23405718520217 46811437040434 70217155560651 140434311121302