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140000014624 = 2531353541739
BaseRepresentation
bin1000001001100010100…
…1101011000100100000
3111101100211201121210211
42002120221223010200
54243210000431444
6144152022103504
713054221326641
oct2023051530440
9441324647724
10140000014624
11544123a4128
122317187ab94
1310281898852
146ac16336c8
153995c25c34
hex2098a6b120

140000014624 has 96 divisors (see below), whose sum is σ = 286236357120. Its totient is φ = 67333939200.

The previous prime is 140000014621. The next prime is 140000014631. The reversal of 140000014624 is 426410000041.

It is a super-2 number, since 2×1400000146242 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 140000014595 and 140000014604.

It is not an unprimeable number, because it can be changed into a prime (140000014621) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 189444847 + ... + 189445585.

It is an arithmetic number, because the mean of its divisors is an integer number (2981628720).

Almost surely, 2140000014624 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 140000014624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143118178560).

140000014624 is an abundant number, since it is smaller than the sum of its proper divisors (146236342496).

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

140000014624 is a wasteful number, since it uses less digits than its factorization.

140000014624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1674 (or 1666 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 140000014624 its reverse (426410000041), we get a palindrome (566410014665).

The spelling of 140000014624 in words is "one hundred forty billion, fourteen thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 31 32 62 124 248 353 496 541 706 739 992 1082 1412 1478 2164 2824 2956 4328 5648 5912 8656 10943 11296 11824 16771 17312 21886 22909 23648 33542 43772 45818 67084 87544 91636 134168 175088 183272 190973 260867 268336 350176 366544 381946 399799 521734 536672 733088 763892 799598 1043468 1527784 1599196 2086936 3055568 3198392 4173872 5920163 6111136 6396784 8086877 8347744 11840326 12393769 12793568 16173754 23680652 24787538 32347508 47361304 49575076 64695016 94722608 99150152 129390032 141129047 189445216 198300304 258780064 282258094 396600608 564516188 1129032376 2258064752 4375000457 4516129504 8750000914 17500001828 35000003656 70000007312 140000014624