Search a number
-
+
6335141456112 = 243733149568783
BaseRepresentation
bin101110000110000001111…
…0110110010100011110000
3211102122002220022111212220
41130030003312302203300
51312243332203043422
621250153535321040
71222461465613410
oct134140366624360
924378086274786
106335141456112
11202279a216867
12863962080180
1336c52a7ac401
1417c8a0140640
15aebd1819e5c
hex5c303db28f0

6335141456112 has 80 divisors (see below), whose sum is σ = 18704348083200. Its totient is φ = 1809982630656.

The previous prime is 6335141456101. The next prime is 6335141456131. The reversal of 6335141456112 is 2116541415336.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 10853673 + ... + 11422455.

It is an arithmetic number, because the mean of its divisors is an integer number (233804351040).

Almost surely, 26335141456112 is an apocalyptic number.

It is an amenable number.

6335141456112 is an abundant number, since it is smaller than the sum of its proper divisors (12369206627088).

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

6335141456112 is a wasteful number, since it uses less digits than its factorization.

6335141456112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601950 (or 601944 counting only the distinct ones).

The product of its digits is 259200, while the sum is 42.

The spelling of 6335141456112 in words is "six trillion, three hundred thirty-five billion, one hundred forty-one million, four hundred fifty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 33149 66298 99447 132596 198894 232043 265192 397788 464086 530384 568783 696129 795576 928172 1137566 1392258 1591152 1706349 1856344 2275132 2784516 3412698 3712688 3981481 4550264 5569032 6825396 7962962 9100528 11138064 11944443 13650792 15925924 23888886 27301584 31851848 47777772 63703696 95555544 191111088 18854587667 37709175334 56563763001 75418350668 113127526002 131982113669 150836701336 226255052004 263964227338 301673402672 395946341007 452510104008 527928454676 791892682014 905020208016 1055856909352 1583785364028 2111713818704 3167570728056 6335141456112