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107411481340 = 225191073896791
BaseRepresentation
bin110010000001000111…
…0010010001011111100
3101021020200122121022121
41210002032102023330
53224434314400330
6121202200452324
710521520345552
oct1440216221374
9337220577277
10107411481340
1141609a87799
1218997a7a0a4
13a18a146b67
1452ad4cdbd2
152bd9c3417a
hex19023922fc

107411481340 has 96 divisors (see below), whose sum is σ = 240306393600. Its totient is φ = 40213313280.

The previous prime is 107411481337. The next prime is 107411481343. The reversal of 107411481340 is 43184114701.

It is an interprime number because it is at equal distance from previous prime (107411481337) and next prime (107411481343).

It is a junction number, because it is equal to n+sod(n) for n = 107411481296 and 107411481305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107411481343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15813345 + ... + 15820135.

It is an arithmetic number, because the mean of its divisors is an integer number (2503191600).

Almost surely, 2107411481340 is an apocalyptic number.

107411481340 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 107411481340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120153196800).

107411481340 is an abundant number, since it is smaller than the sum of its proper divisors (132894912260).

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

107411481340 is a wasteful number, since it uses less digits than its factorization.

107411481340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7315 (or 7313 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The spelling of 107411481340 in words is "one hundred seven billion, four hundred eleven million, four hundred eighty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 107 190 214 380 389 428 535 778 1070 1556 1945 2033 2140 3890 4066 6791 7391 7780 8132 10165 13582 14782 20330 27164 29564 33955 36955 40660 41623 67910 73910 83246 129029 135820 147820 166492 208115 258058 416230 516116 645145 726637 790837 832460 1290290 1453274 1581674 2580580 2641699 2906548 3163348 3633185 3954185 5283398 7266370 7908370 10566796 13208495 13806103 14532740 15816740 26416990 27612206 50192281 52833980 55224412 69030515 100384562 138061030 200769124 250961405 276122060 282661793 501922810 565323586 1003845620 1130647172 1413308965 2826617930 5370574067 5653235860 10741148134 21482296268 26852870335 53705740670 107411481340