Search a number
-
+
1985714327144 = 231922329894531
BaseRepresentation
bin11100111001010101110…
…011000000111001101000
321000211110211211110220102
4130321111303000321220
5230013220331432034
64120120301244532
7263314565201042
oct34712563007150
97024424743812
101985714327144
116a6155a74389
12280a17863748
13115337a02a02
146c175492a92
15369bdc6a97e
hex1ce55cc0e68

1985714327144 has 48 divisors (see below), whose sum is σ = 4100334009120. Its totient is φ = 899705774880.

The previous prime is 1985714327111. The next prime is 1985714327147. The reversal of 1985714327144 is 4417234175891.

It is a super-2 number, since 2×19857143271442 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1985714327144.

It is not an unprimeable number, because it can be changed into a prime (1985714327147) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14880842 + ... + 15013689.

It is an arithmetic number, because the mean of its divisors is an integer number (85423625190).

Almost surely, 21985714327144 is an apocalyptic number.

It is an amenable number.

1985714327144 is an abundant number, since it is smaller than the sum of its proper divisors (2114619681976).

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

1985714327144 is a wasteful number, since it uses less digits than its factorization.

1985714327144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29894598 (or 29894575 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 56.

The spelling of 1985714327144 in words is "one trillion, nine hundred eighty-five billion, seven hundred fourteen million, three hundred twenty-seven thousand, one hundred forty-four".

Divisors: 1 2 4 8 19 23 38 46 76 92 152 184 361 437 722 874 1444 1748 2888 3496 8303 16606 33212 66424 29894531 59789062 119578124 239156248 567996089 687574213 1135992178 1375148426 2271984356 2750296852 4543968712 5500593704 10791925691 13063910047 21583851382 26127820094 43167702764 52255640188 86335405528 104511280376 248214290893 496428581786 992857163572 1985714327144