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107305423416 = 233219233410419
BaseRepresentation
bin110001111101111100…
…1101101001000111000
3101020222022002022012100
41203323321231020320
53224230142022131
6121143451343400
710516062023022
oct1437371551070
9336868068170
10107305423416
1141565128914
1218968451b60
13a171191ba9
14529d3a3012
152bd07847e6
hex18fbe6d238

107305423416 has 96 divisors (see below), whose sum is σ = 319215312000. Its totient is φ = 32412612672.

The previous prime is 107305423387. The next prime is 107305423417. The reversal of 107305423416 is 614324503701.

107305423416 is a `hidden beast` number, since 1 + 0 + 7 + 305 + 4 + 2 + 341 + 6 = 666.

It is a super-2 number, since 2×1073054234162 (a number of 23 digits) contains 22 as substring.

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 (107305423417) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1673746 + ... + 1736673.

It is an arithmetic number, because the mean of its divisors is an integer number (3325159500).

Almost surely, 2107305423416 is an apocalyptic number.

It is an amenable number.

107305423416 is an abundant number, since it is smaller than the sum of its proper divisors (211909888584).

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

107305423416 is a wasteful number, since it uses less digits than its factorization.

107305423416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3410473 (or 3410466 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 107305423416 in words is "one hundred seven billion, three hundred five million, four hundred twenty-three thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 19 23 24 36 38 46 57 69 72 76 92 114 138 152 171 184 207 228 276 342 414 437 456 552 684 828 874 1311 1368 1656 1748 2622 3496 3933 5244 7866 10488 15732 31464 3410419 6820838 10231257 13641676 20462514 27283352 30693771 40925028 61387542 64797961 78439637 81850056 122775084 129595922 156879274 194393883 235318911 245550168 259191844 313758548 388787766 470637822 518383688 583181649 627517096 705956733 777575532 941275644 1166363298 1411913466 1490353103 1555151064 1882551288 2332726596 2823826932 2980706206 4471059309 4665453192 5647653864 5961412412 8942118618 11922824824 13413177927 17884237236 26826355854 35768474472 53652711708 107305423416