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2432222114140 = 2257134331078739
BaseRepresentation
bin100011011001001011101…
…111000011000101011100
322121111222202000012212201
4203121023233003011130
5304322142330123030
65101203012541244
7340502505566560
oct43311357030534
98544882005781
102432222114140
11858554a80485
1233346a321824
1314848573c930
1485a122536a0
15434036392ca
hex2364bbc315c

2432222114140 has 96 divisors (see below), whose sum is σ = 6432553290240. Its totient is φ = 751856829696.

The previous prime is 2432222114107. The next prime is 2432222114159. The reversal of 2432222114140 is 414112222342.

2432222114140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 2432222114099 and 2432222114108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15461110 + ... + 15617629.

It is an arithmetic number, because the mean of its divisors is an integer number (67005763440).

Almost surely, 22432222114140 is an apocalyptic number.

2432222114140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2432222114140 is an abundant number, since it is smaller than the sum of its proper divisors (4000331176100).

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

2432222114140 is a wasteful number, since it uses less digits than its factorization.

2432222114140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31078811 (or 31078809 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 2432222114140 its reverse (414112222342), we get a palindrome (2846334336482).

The spelling of 2432222114140 in words is "two trillion, four hundred thirty-two billion, two hundred twenty-two million, one hundred fourteen thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 43 52 65 70 86 91 130 140 172 182 215 260 301 364 430 455 559 602 860 910 1118 1204 1505 1820 2236 2795 3010 3913 5590 6020 7826 11180 15652 19565 39130 78260 31078739 62157478 124314956 155393695 217551173 310787390 404023607 435102346 621574780 808047214 870204692 1087755865 1336385777 1616094428 2020118035 2175511730 2672771554 2828165249 4040236070 4351023460 5345543108 5656330498 6681928885 8080472140 9354700439 11312660996 13363857770 14140826245 17373015101 18709400878 26727715540 28281652490 34746030202 37418801756 46773502195 56563304980 69492060404 86865075505 93547004390 121611105707 173730151010 187094008780 243222211414 347460302020 486444422828 608055528535 1216111057070 2432222114140