Search a number
-
+
1314143556450 = 235229997303011
BaseRepresentation
bin10011000111111001000…
…011110101001101100010
311122122000220221120020020
4103013321003311031202
5133012331222301300
62443413105054310
7163641462632004
oct23077103651542
94578026846206
101314143556450
1146736386151a
12192834027396
1396c0038a35a
1447867b50374
15242b59638a0
hex131f90f5362

1314143556450 has 96 divisors (see below), whose sum is σ = 3374850692160. Its totient is φ = 338013715200.

The previous prime is 1314143556443. The next prime is 1314143556463. The reversal of 1314143556450 is 546553414131.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4185445 + ... + 4488455.

It is an arithmetic number, because the mean of its divisors is an integer number (35154694710).

Almost surely, 21314143556450 is an apocalyptic number.

1314143556450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1314143556450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1687425346080).

1314143556450 is an abundant number, since it is smaller than the sum of its proper divisors (2060707135710).

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

1314143556450 is a wasteful number, since it uses less digits than its factorization.

1314143556450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304052 (or 304047 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 42.

The spelling of 1314143556450 in words is "one trillion, three hundred fourteen billion, one hundred forty-three million, five hundred fifty-six thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 29 30 50 58 75 87 145 150 174 290 435 725 870 997 1450 1994 2175 2991 4350 4985 5982 9970 14955 24925 28913 29910 49850 57826 74775 86739 144565 149550 173478 289130 303011 433695 606022 722825 867390 909033 1445650 1515055 1818066 2168475 3030110 4336950 4545165 7575275 8787319 9090330 15150550 17574638 22725825 26361957 43936595 45451650 52723914 87873190 131809785 219682975 263619570 302101967 439365950 604203934 659048925 906305901 1318097850 1510509835 1812611802 3021019670 4531529505 7552549175 8760957043 9063059010 15105098350 17521914086 22657647525 26282871129 43804785215 45315295050 52565742258 87609570430 131414355645 219023926075 262828711290 438047852150 657071778225 1314143556450