Search a number
-
+
140024232040 = 235711284315991
BaseRepresentation
bin1000001001101000011…
…0000011100001101000
3111101102112021222212011
42002122012003201220
54243232200411130
6144154245125304
713054634222440
oct2023206034150
9441375258764
10140024232040
1154425035020
12231799b9834
13102868c7794
146ac4939120
153997e0b52a
hex209a183868

140024232040 has 128 divisors (see below), whose sum is σ = 392957982720. Its totient is φ = 43625836800.

The previous prime is 140024231987. The next prime is 140024232059. The reversal of 140024232040 is 40232420041.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

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 31 ways as a sum of consecutive naturals, for example, 8748445 + ... + 8764435.

It is an arithmetic number, because the mean of its divisors is an integer number (3069984240).

Almost surely, 2140024232040 is an apocalyptic number.

140024232040 is a gapful number since it is divisible by the number (10) 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 140024232040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196478991360).

140024232040 is an abundant number, since it is smaller than the sum of its proper divisors (252933750680).

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

140024232040 is a wasteful number, since it uses less digits than its factorization.

140024232040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18863 (or 18859 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 140024232040 its reverse (40232420041), we get a palindrome (180256652081).

The spelling of 140024232040 in words is "one hundred forty billion, twenty-four million, two hundred thirty-two thousand, forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1540 2843 3080 5686 11372 14215 15991 19901 22744 28430 31273 31982 39802 56860 62546 63964 79604 79955 99505 111937 113720 125092 127928 156365 159208 159910 175901 199010 218911 223874 250184 312730 319820 351802 398020 437822 447748 559685 625460 639640 703604 796040 875644 879505 895496 1094555 1119370 1231307 1250920 1407208 1751288 1759010 2189110 2238740 2462614 3518020 4378220 4477480 4925228 6156535 7036040 8756440 9850456 12313070 24626140 45462413 49252280 90924826 181849652 227312065 318236891 363699304 454624130 500086543 636473782 909248260 1000173086 1272947564 1591184455 1818496520 2000346172 2500432715 2545895128 3182368910 3500605801 4000692344 5000865430 6364737820 7001211602 10001730860 12729475640 14002423204 17503029005 20003461720 28004846408 35006058010 70012116020 140024232040