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142415104416 = 25313573719891
BaseRepresentation
bin1000010010100010011…
…0100000100110100000
3111121121011010220011220
42010220212200212200
54313131231320131
6145231413535040
713201115262024
oct2045046404640
9447534126156
10142415104416
1155441682902
1223726644480
1310578038970
146c702a0384
153a87c7ce96
hex21289a09a0

142415104416 has 96 divisors (see below), whose sum is σ = 402686964288. Its totient is φ = 43810191360.

The previous prime is 142415104397. The next prime is 142415104493. The reversal of 142415104416 is 614401514241.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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, 7149831 + ... + 7169721.

It is an arithmetic number, because the mean of its divisors is an integer number (4194655878).

Almost surely, 2142415104416 is an apocalyptic number.

142415104416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

142415104416 is an abundant number, since it is smaller than the sum of its proper divisors (260271859872).

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

142415104416 is a wasteful number, since it uses less digits than its factorization.

142415104416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25654 (or 25646 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

Adding to 142415104416 its reverse (614401514241), we get a palindrome (756816618657).

The spelling of 142415104416 in words is "one hundred forty-two billion, four hundred fifteen million, one hundred four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 5737 11474 17211 19891 22948 34422 39782 45896 59673 68844 74581 79564 91792 119346 137688 149162 159128 183584 223743 238692 258583 275376 298324 318256 447486 477384 517166 550752 596648 636512 775749 894972 954768 1034332 1193296 1551498 1789944 1909536 2068664 2386592 3102996 3579888 4137328 6205992 7159776 8274656 12411984 24823968 114114667 228229334 342344001 456458668 684688002 912917336 1369376004 1483490671 1825834672 2738752008 2966981342 3651669344 4450472013 5477504016 5933962684 8900944026 10955008032 11867925368 17801888052 23735850736 35603776104 47471701472 71207552208 142415104416