Search a number
-
+
103141663416 = 23331143409791
BaseRepresentation
bin110000000001110111…
…0001110001010111000
3100212020010020101021000
41200003232032022320
53142213231212131
6115214351445000
710310642450031
oct1400356161270
9325203211230
10103141663416
113a818864350
1217ba5b26760
13995966448c
144dc63c1a88
152a39e62ce6
hex1803b8e2b8

103141663416 has 64 divisors (see below), whose sum is σ = 312550502400. Its totient is φ = 31255048800.

The previous prime is 103141663411. The next prime is 103141663439. The reversal of 103141663416 is 614366141301.

103141663416 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 4 + 1 + 6 + 634 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103141663411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21702520 + ... + 21707271.

It is an arithmetic number, because the mean of its divisors is an integer number (4883601600).

Almost surely, 2103141663416 is an apocalyptic number.

It is an amenable number.

103141663416 is an abundant number, since it is smaller than the sum of its proper divisors (209408838984).

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

103141663416 is a wasteful number, since it uses less digits than its factorization.

103141663416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43409817 (or 43409807 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 103141663416 in words is "one hundred three billion, one hundred forty-one million, six hundred sixty-three thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 1188 2376 43409791 86819582 130229373 173639164 260458746 347278328 390688119 477507701 520917492 781376238 955015402 1041834984 1172064357 1432523103 1562752476 1910030804 2344128714 2865046206 3125504952 3820061608 4297569309 4688257428 5730092412 8595138618 9376514856 11460184824 12892707927 17190277236 25785415854 34380554472 51570831708 103141663416