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140262824442 = 231319731797243
BaseRepresentation
bin1000001010100001010…
…0001101100111111010
3111102001011020202002210
42002220110031213322
54244224240340232
6144234051035550
713063562223216
oct2025024154772
9442034222083
10140262824442
1154537787024
122322589bbb6
13102c4174a10
146b084c5946
1539add3a5cc
hex20a850d9fa

140262824442 has 128 divisors (see below), whose sum is σ = 324206668800. Its totient is φ = 40095419904.

The previous prime is 140262824437. The next prime is 140262824447. The reversal of 140262824442 is 244428262041.

It is an interprime number because it is at equal distance from previous prime (140262824437) and next prime (140262824447).

It is a super-2 number, since 2×1402628244422 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 140262824442.

It is not an unprimeable number, because it can be changed into a prime (140262824447) by changing a digit.

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, 19361673 + ... + 19368915.

It is an arithmetic number, because the mean of its divisors is an integer number (2532864600).

Almost surely, 2140262824442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140262824442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162103334400).

140262824442 is an abundant number, since it is smaller than the sum of its proper divisors (183943844358).

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

140262824442 is a wasteful number, since it uses less digits than its factorization.

140262824442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7532.

The product of its (nonzero) digits is 196608, while the sum is 39.

The spelling of 140262824442 in words is "one hundred forty billion, two hundred sixty-two million, eight hundred twenty-four thousand, four hundred forty-two".

Divisors: 1 2 3 6 13 19 26 38 39 57 73 78 114 146 179 219 247 358 438 494 537 741 949 1074 1387 1482 1898 2327 2774 2847 3401 4161 4654 5694 6802 6981 7243 8322 10203 13067 13962 14486 18031 20406 21729 26134 36062 39201 43458 44213 54093 78402 88426 94159 108186 132639 137617 169871 188318 248273 265278 275234 282477 339742 412851 496546 509613 528739 564954 744819 825702 1019226 1057478 1296497 1489638 1586217 1789021 2592994 3172434 3227549 3578042 3889491 5367063 6455098 6873607 7778982 9682647 10046041 10734126 13747214 16854461 19365294 20092082 20620821 24633443 30138123 33708922 41241642 49266886 50563383 60276246 73900329 94644281 101126766 130598533 147800658 189288562 261197066 283932843 320234759 391795599 567865686 640469518 783591198 960704277 1230375653 1798241339 1921408554 2460751306 3596482678 3691126959 5394724017 7382253918 10789448034 23377137407 46754274814 70131412221 140262824442