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142313401102432 = 257312661111013
BaseRepresentation
bin100000010110111011101011…
…101110000011000001100000
3200122220000202121112221212111
4200112323223232003001200
5122123130321140234212
61222401512433205104
741655542514150130
oct4026735356030140
9618800677487774
10142313401102432
114138885790199a
1213b6535a100794
1361541332b1681
142720010a18ac0
15116bd71409ea7
hex816eebb83060

142313401102432 has 72 divisors (see below), whose sum is σ = 330867551398608. Its totient is φ = 59023991151360.

The previous prime is 142313401102421. The next prime is 142313401102459. The reversal of 142313401102432 is 234201104313241.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 142313401102394 and 142313401102403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 330340243 + ... + 330770770.

It is an arithmetic number, because the mean of its divisors is an integer number (4595382658314).

Almost surely, 2142313401102432 is an apocalyptic number.

It is an amenable number.

142313401102432 is an abundant number, since it is smaller than the sum of its proper divisors (188554150296176).

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

142313401102432 is an equidigital number, since it uses as much as digits as its factorization.

142313401102432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661111092 (or 661111053 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

Adding to 142313401102432 its reverse (234201104313241), we get a palindrome (376514505415673).

The spelling of 142313401102432 in words is "one hundred forty-two trillion, three hundred thirteen billion, four hundred one million, one hundred two thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 217 224 248 434 496 868 961 992 1736 1922 3472 3844 6727 6944 7688 13454 15376 26908 30752 53816 107632 215264 661111013 1322222026 2644444052 4627777091 5288888104 9255554182 10577776208 18511108364 20494441403 21155552416 37022216728 40988882806 74044433456 81977765612 143461089821 148088866912 163955531224 286922179642 327911062448 573844359284 635327683493 655822124896 1147688718568 1270655366986 2295377437136 2541310733972 4447293784451 4590754874272 5082621467944 8894587568902 10165242935888 17789175137804 20330485871776 35578350275608 71156700551216 142313401102432