Search a number
-
+
140658744336 = 243111274015231
BaseRepresentation
bin1000001011111111101…
…0100001110000010000
3111110001202020120002120
42002333322201300100
54301032114304321
6144341233014240
713106440412505
oct2027772416020
9443052216076
10140658744336
1154720215550
12233163b4380
13103581b8146
146b44d074ac
1539d3994ec6
hex20bfea1c10

140658744336 has 160 divisors (see below), whose sum is σ = 400596074496. Its totient is φ = 42174720000.

The previous prime is 140658744269. The next prime is 140658744353. The reversal of 140658744336 is 633447856041.

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 31 ways as a sum of consecutive naturals, for example, 26886841 + ... + 26892071.

Almost surely, 2140658744336 is an apocalyptic number.

140658744336 is a gapful number since it is divisible by the number (16) 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 140658744336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200298037248).

140658744336 is an abundant number, since it is smaller than the sum of its proper divisors (259937330160).

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

140658744336 is a wasteful number, since it uses less digits than its factorization.

140658744336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5781 (or 5775 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 51.

The spelling of 140658744336 in words is "one hundred forty billion, six hundred fifty-eight million, seven hundred forty-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 127 132 176 254 264 381 401 508 528 762 802 1016 1203 1397 1524 1604 2032 2406 2794 3048 3208 4191 4411 4812 5231 5588 6096 6416 8382 8822 9624 10462 11176 13233 15693 16764 17644 19248 20924 22352 26466 31386 33528 35288 41848 50927 52932 57541 62772 67056 70576 83696 101854 105864 115082 125544 152781 172623 203708 211728 230164 251088 305562 345246 407416 460328 560197 611124 664337 690492 814832 920656 1120394 1222248 1328674 1380984 1680591 1993011 2097631 2240788 2444496 2657348 2761968 3361182 3986022 4195262 4481576 5314696 6292893 6722364 7307707 7972044 8390524 8963152 10629392 12585786 13444728 14615414 15944088 16781048 21923121 23073941 25171572 26889456 29230828 31888176 33562096 43846242 46147882 50343144 58461656 69221823 87692484 92295764 100686288 116923312 138443646 175384968 184591528 266399137 276887292 350769936 369183056 532798274 553774584 799197411 1065596548 1107549168 1598394822 2131193096 2930390507 3196789644 4262386192 5860781014 6393579288 8791171521 11721562028 12787158576 17582343042 23443124056 35164686084 46886248112 70329372168 140658744336