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14011731084780 = 223451113401150833
BaseRepresentation
bin1100101111100101110001…
…0000010000010111101100
31211121111201122000210210000
43023321130100100113230
53314032011124203110
645444522252544300
72644212521051652
oct313713420202754
954544648023700
1014011731084780
114512383a04280
1216a3698482090
137a83ba482630
14366258488dd2
15194725c501c0
hexcbe5c4105ec

14011731084780 has 480 divisors, whose sum is σ = 51768936571968. Its totient is φ = 3127652352000.

The previous prime is 14011731084749. The next prime is 14011731084823. The reversal of 14011731084780 is 8748013711041.

14011731084780 is a `hidden beast` number, since 1 + 4 + 0 + 1 + 1 + 73 + 108 + 478 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 92820244 + ... + 92971076.

Almost surely, 214011731084780 is an apocalyptic number.

14011731084780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14011731084780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25884468285984).

14011731084780 is an abundant number, since it is smaller than the sum of its proper divisors (37757205487188).

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

14011731084780 is a wasteful number, since it uses less digits than its factorization.

14011731084780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151279 (or 151268 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

The spelling of 14011731084780 in words is "fourteen trillion, eleven billion, seven hundred thirty-one million, eighty-four thousand, seven hundred eighty".