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104125342040 = 235171923334589
BaseRepresentation
bin110000011111001011…
…0101010000101011000
3100221202200012102122122
41200332112222011120
53201222041421130
6115500131240412
710344215542526
oct1407626520530
9327680172578
10104125342040
114018304a695
121821b449108
139a853a8735
14507acc1316
152a964bd2e5
hex183e5aa158

104125342040 has 128 divisors (see below), whose sum is σ = 262247544000. Its totient is φ = 36976508928.

The previous prime is 104125342039. The next prime is 104125342043. The reversal of 104125342040 is 40243521401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104125342043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2993066 + ... + 3027654.

Almost surely, 2104125342040 is an apocalyptic number.

104125342040 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 104125342040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131123772000).

104125342040 is an abundant number, since it is smaller than the sum of its proper divisors (158122201960).

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

104125342040 is a wasteful number, since it uses less digits than its factorization.

104125342040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34869 (or 34865 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 104125342040 its reverse (40243521401), we get a palindrome (144368863441).

The spelling of 104125342040 in words is "one hundred four billion, one hundred twenty-five million, three hundred forty-two thousand, forty".

Divisors: 1 2 4 5 8 10 17 19 20 34 38 40 68 76 85 95 136 152 170 190 233 323 340 380 466 646 680 760 932 1165 1292 1615 1864 2330 2584 3230 3961 4427 4660 6460 7922 8854 9320 12920 15844 17708 19805 22135 31688 34589 35416 39610 44270 69178 75259 79220 88540 138356 150518 158440 172945 177080 276712 301036 345890 376295 588013 602072 657191 691780 752590 1176026 1314382 1383560 1505180 2352052 2628764 2940065 3010360 3285955 4704104 5257528 5880130 6571910 8059237 11172247 11760260 13143820 16118474 22344494 23520520 26287640 32236948 40296185 44688988 55861235 64473896 80592370 89377976 111722470 137007029 153125503 161184740 223444940 274014058 306251006 322369480 446889880 548028116 612502012 685035145 765627515 1096056232 1225004024 1370070290 1531255030 2603133551 2740140580 3062510060 5206267102 5480281160 6125020120 10412534204 13015667755 20825068408 26031335510 52062671020 104125342040