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142344603016 = 237112634212087
BaseRepresentation
bin1000010010010001100…
…1100100010110001000
3111121102020111001102221
42010210121210112020
54313010204244031
6145220414503424
713166301106420
oct2044431442610
9447366431387
10142344603016
11554058aa090
1223706b04b74
1310566552b65
146c64b8b480
153a819a3a11
hex2124664588

142344603016 has 128 divisors (see below), whose sum is σ = 334972661760. Its totient is φ = 55090425600.

The previous prime is 142344602969. The next prime is 142344603043. The reversal of 142344603016 is 610306443241.

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, 68204325 + ... + 68206411.

It is an arithmetic number, because the mean of its divisors is an integer number (2616973920).

Almost surely, 2142344603016 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 142344603016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167486330880).

142344603016 is an abundant number, since it is smaller than the sum of its proper divisors (192628058744).

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

142344603016 is a wasteful number, since it uses less digits than its factorization.

142344603016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2795 (or 2791 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

The spelling of 142344603016 in words is "one hundred forty-two billion, three hundred forty-four million, six hundred three thousand, sixteen".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 263 308 421 526 616 842 1052 1684 1841 2087 2104 2893 2947 3368 3682 4174 4631 5786 5894 7364 8348 9262 11572 11788 14609 14728 16696 18524 20251 22957 23144 23576 29218 32417 37048 40502 45914 58436 64834 81004 91828 110723 116872 129668 160699 162008 183656 221446 259336 321398 442892 548881 642796 775061 878627 885784 1097762 1217953 1285592 1550122 1757254 2195524 2435906 3100244 3514508 3842167 4391048 4871812 6037691 6150389 6200488 7029016 7684334 8525671 9664897 9743624 12075382 12300778 15368668 17051342 19329794 24150764 24601556 30737336 34102684 38659588 42263837 48301528 49203112 67654279 68205368 77319176 84527674 135308558 169055348 231078901 270617116 338110696 462157802 541234232 924315604 1617552307 1848631208 2541867911 3235104614 5083735822 6470209228 10167471644 12940418456 17793075377 20334943288 35586150754 71172301508 142344603016