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7114916144 = 247293170663
BaseRepresentation
bin1101010000001010…
…10000000100110000
3200100211222012002202
412220011100010300
5104032404304034
63134001202332
7341212534520
oct65005200460
920324865082
107114916144
113021203896
1214669303a8
1389506cb6b
144b6d11680
152b996847e
hex1a8150130

7114916144 has 80 divisors (see below), whose sum is σ = 16823685120. Its totient is φ = 2849091840.

The previous prime is 7114916129. The next prime is 7114916183. The reversal of 7114916144 is 4416194117.

It is a junction number, because it is equal to n+sod(n) for n = 7114916098 and 7114916107.

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, 65357 + ... + 136019.

It is an arithmetic number, because the mean of its divisors is an integer number (210296064).

Almost surely, 27114916144 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 7114916144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8411842560).

7114916144 is an abundant number, since it is smaller than the sum of its proper divisors (9708768976).

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

7114916144 is a wasteful number, since it uses less digits than its factorization.

7114916144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70738 (or 70732 counting only the distinct ones).

The product of its digits is 24192, while the sum is 38.

The square root of 7114916144 is about 84349.9623236430. The cubic root of 7114916144 is about 1923.3423538596.

The spelling of 7114916144 in words is "seven billion, one hundred fourteen million, nine hundred sixteen thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 29 31 56 58 62 112 116 124 203 217 232 248 406 434 464 496 812 868 899 1624 1736 1798 3248 3472 3596 6293 7192 12586 14384 25172 50344 70663 100688 141326 282652 494641 565304 989282 1130608 1978564 2049227 2190553 3957128 4098454 4381106 7914256 8196908 8762212 14344589 15333871 16393816 17524424 28689178 30667742 32787632 35048848 57378356 61335484 63526037 114756712 122670968 127052074 229513424 245341936 254104148 444682259 508208296 889364518 1016416592 1778729036 3557458072 7114916144