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116425416240 = 24325723100281
BaseRepresentation
bin110110001101101111…
…1101101111000110000
3102010111212221221102100
41230123133231320300
53401414401304430
6125252440420400
711261062465260
oct1543337557060
9363455857370
10116425416240
1145415126471
121a692777700
13ac95765a53
1458c66d17a0
153066264960
hex1b1b7ede30

116425416240 has 120 divisors (see below), whose sum is σ = 446851855008. Its totient is φ = 26611522560.

The previous prime is 116425416209. The next prime is 116425416271. The reversal of 116425416240 is 42614524611.

116425416240 is a `hidden beast` number, since 1 + 1 + 6 + 4 + 25 + 4 + 1 + 624 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (116425416209) and next prime (116425416271).

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 116425416195 and 116425416204.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11545101 + ... + 11555180.

Almost surely, 2116425416240 is an apocalyptic number.

116425416240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

116425416240 is an abundant number, since it is smaller than the sum of its proper divisors (330426438768).

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

116425416240 is a wasteful number, since it uses less digits than its factorization.

116425416240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23100307 (or 23100298 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 116425416240 in words is "one hundred sixteen billion, four hundred twenty-five million, four hundred sixteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 23100281 46200562 69300843 92401124 115501405 138601686 161701967 184802248 207902529 231002810 277203372 323403934 346504215 369604496 415805058 462005620 485105901 554406744 646807868 693008430 808509835 831610116 924011240 970211802 1039512645 1108813488 1293615736 1386016860 1455317703 1617019670 1663220232 1848022480 1940423604 2079025290 2425529505 2587231472 2772033720 2910635406 3234039340 3326440464 3880847208 4158050580 4851059010 5544067440 5821270812 6468078680 7276588515 7761694416 8316101160 9702118020 11642541624 12936157360 14553177030 16632202320 19404236040 23285083248 29106354060 38808472080 58212708120 116425416240