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142325613510416 = 247113111731006507
BaseRepresentation
bin100000010111000111000011…
…101000101011111100010000
3200122221012021201100120012022
4200113013003220223330100
5122123330324024313131
61222411252331351012
741656454245000130
oct4027070350537420
9618835251316168
10142325613510416
1141392a54450856
1213b677a7bb2468
13615532b45609b
14272084c928ac0
15116c33863637b
hex8171c3a2bf10

142325613510416 has 80 divisors (see below), whose sum is σ = 317967278922624. Its totient is φ = 60451426732032.

The previous prime is 142325613510397. The next prime is 142325613510481. The reversal of 142325613510416 is 614015316523241.

It is a super-2 number, since 2×1423256135104162 (a number of 29 digits) contains 22 as substring.

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, 140902235 + ... + 141908741.

Almost surely, 2142325613510416 is an apocalyptic number.

142325613510416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142325613510416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158983639461312).

142325613510416 is an abundant number, since it is smaller than the sum of its proper divisors (175641665412208).

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

142325613510416 is a wasteful number, since it uses less digits than its factorization.

142325613510416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017808 (or 1017802 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 44.

The spelling of 142325613510416 in words is "one hundred forty-two trillion, three hundred twenty-five billion, six hundred thirteen million, five hundred ten thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 56 112 113 226 452 791 904 1582 1808 3164 6328 11173 12656 22346 44692 78211 89384 156422 178768 312844 625688 1006507 1251376 1262549 2013014 2525098 4026028 5050196 7045549 8052056 8837843 10100392 14091098 16104112 17675686 20200784 28182196 35351372 56364392 70702744 112728784 113735291 141405488 227470582 454941164 796147037 909882328 1592294074 1819764656 3184588148 6369176296 11245702711 12738352592 22491405422 44982810844 78719918977 89965621688 157439837954 179931243376 314879675908 629759351816 1259518703632 1270764406343 2541528812686 5083057625372 8895350844401 10166115250744 17790701688802 20332230501488 35581403377604 71162806755208 142325613510416