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142216754551144 = 23713659929603377
BaseRepresentation
bin100000010101100001101011…
…001000101101100101101000
3200122112210022011000110102221
4200111201223020231211220
5122120034403131114034
61222245250342203424
741645551520054050
oct4025415310554550
9618483264013387
10142216754551144
11413508723a7509
1213b4a687423574
136147ca0479310
1427194830c8560
1511695b67cebb4
hex81586b22d968

142216754551144 has 64 divisors (see below), whose sum is σ = 328242255264000. Its totient is φ = 56253045556224.

The previous prime is 142216754551127. The next prime is 142216754551163. The reversal of 142216754551144 is 441155457612241.

It is a happy number.

142216754551144 is digitally balanced in base 3, 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 (52).

It is a junction number, because it is equal to n+sod(n) for n = 142216754551091 and 142216754551100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9997617 + ... + 19605760.

It is an arithmetic number, because the mean of its divisors is an integer number (5128785238500).

Almost surely, 2142216754551144 is an apocalyptic number.

142216754551144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

142216754551144 is an abundant number, since it is smaller than the sum of its proper divisors (186025500712856).

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

142216754551144 is a wasteful number, since it uses less digits than its factorization.

142216754551144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29610002 (or 29609998 counting only the distinct ones).

The product of its digits is 5376000, while the sum is 52.

The spelling of 142216754551144 in words is "one hundred forty-two trillion, two hundred sixteen billion, seven hundred fifty-four million, five hundred fifty-one thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 728 6599 13198 26396 46193 52792 85787 92386 171574 184772 343148 369544 600509 686296 1201018 2402036 4804072 29603377 59206754 118413508 207223639 236827016 384843901 414447278 769687802 828894556 1539375604 1657789112 2693907307 3078751208 5387814614 10775629228 21551258456 195352684823 390705369646 781410739292 1367468793761 1562821478584 2539584902699 2734937587522 5079169805398 5469875175044 10158339610796 10939750350088 17777094318893 20316679221592 35554188637786 71108377275572 142216754551144