Search a number
-
+
140194783008 = 25327137507599
BaseRepresentation
bin1000001010010001000…
…0101001111100100000
3111101212102012212210200
42002210100221330200
54244104331024013
6144223220425200
713062104664540
oct2024420517440
9441772185720
10140194783008
1154502333535
1223206b48200
13102b3040807
146add453320
1539a7d99e73
hex20a4429f20

140194783008 has 144 divisors (see below), whose sum is σ = 458959737600. Its totient is φ = 39763196928.

The previous prime is 140194782947. The next prime is 140194783063. The reversal of 140194783008 is 800387491041.

It is a happy number.

140194783008 is a `hidden beast` number, since 140 + 1 + 9 + 478 + 30 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22393 + ... + 529991.

It is an arithmetic number, because the mean of its divisors is an integer number (3187220400).

Almost surely, 2140194783008 is an apocalyptic number.

140194783008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140194783008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229479868800).

140194783008 is an abundant number, since it is smaller than the sum of its proper divisors (318764954592).

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

140194783008 is a wasteful number, since it uses less digits than its factorization.

140194783008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507759 (or 507748 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 140194783008 in words is "one hundred forty billion, one hundred ninety-four million, seven hundred eighty-three thousand, eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 137 144 168 224 252 274 288 336 411 504 548 672 822 959 1008 1096 1233 1644 1918 2016 2192 2466 2877 3288 3836 4384 4932 5754 6576 7672 8631 9864 11508 13152 15344 17262 19728 23016 30688 34524 39456 46032 69048 92064 138096 276192 507599 1015198 1522797 2030396 3045594 3553193 4060792 4568391 6091188 7106386 8121584 9136782 10659579 12182376 14212772 16243168 18273564 21319158 24364752 28425544 31978737 36547128 42638316 48729504 56851088 63957474 69541063 73094256 85276632 113702176 127914948 139082126 146188512 170553264 208623189 255829896 278164252 341106528 417246378 486787441 511659792 556328504 625869567 834492756 973574882 1023319584 1112657008 1251739134 1460362323 1668985512 1947149764 2225314016 2503478268 2920724646 3337971024 3894299528 4381086969 5006956536 5841449292 6675942048 7788599056 8762173938 10013913072 11682898584 15577198112 17524347876 20027826144 23365797168 35048695752 46731594336 70097391504 140194783008