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140140889424 = 24337115972861
BaseRepresentation
bin1000001010000100001…
…1000100010101010000
3111101201122210210201000
42002201003010111100
54244002031430144
6144214013342000
713060551622434
oct2024103042520
9441648723630
10140140889424
1154484973488
12231b0a97900
13102a4b21113
146ad62249c4
1539a32a1769
hex20a10c4550

140140889424 has 160 divisors (see below), whose sum is σ = 408319937280. Its totient is φ = 46010764800.

The previous prime is 140140889419. The next prime is 140140889431. The reversal of 140140889424 is 424988041041.

140140889424 is a `hidden beast` number, since 1 + 4 + 0 + 140 + 8 + 89 + 424 = 666.

140140889424 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 140140889424.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48981754 + ... + 48984614.

It is an arithmetic number, because the mean of its divisors is an integer number (2551999608).

Almost surely, 2140140889424 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 140140889424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204159968640).

140140889424 is an abundant number, since it is smaller than the sum of its proper divisors (268179047856).

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

140140889424 is a wasteful number, since it uses less digits than its factorization.

140140889424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4546 (or 4534 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 140140889424 in words is "one hundred forty billion, one hundred forty million, eight hundred eighty-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 71 72 108 142 144 213 216 284 426 432 568 639 852 1136 1278 1597 1704 1917 2556 2861 3194 3408 3834 4791 5112 5722 6388 7668 8583 9582 10224 11444 12776 14373 15336 17166 19164 22888 25552 25749 28746 30672 34332 38328 43119 45776 51498 57492 68664 76656 77247 86238 102996 113387 114984 137328 154494 172476 203131 205992 226774 229968 308988 340161 344952 406262 411984 453548 609393 617976 680322 689904 812524 907096 1020483 1218786 1235952 1360644 1625048 1814192 1828179 2040966 2437572 2721288 3061449 3250096 3656358 4081932 4569017 4875144 5442576 5484537 6122898 7312716 8163864 9138034 9750288 10969074 12245796 13707051 14625432 16327728 18276068 21938148 24491592 27414102 29250864 36552136 41121153 43876296 48983184 54828204 73104272 82242306 87752592 109656408 123363459 164484612 219312816 246726918 324400207 328969224 493453836 648800414 657938448 973200621 986907672 1297600828 1946401242 1973815344 2595201656 2919601863 3892802484 5190403312 5839203726 7785604968 8758805589 11678407452 15571209936 17517611178 23356814904 35035222356 46713629808 70070444712 140140889424