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1414120612660 = 225731204317117
BaseRepresentation
bin10100100101000000001…
…010000010001100110100
312000012002111102020111221
4110211000022002030310
5141132104334101120
63001345452240124
7204111140611000
oct24450012021464
95005074366457
101414120612660
114a57a8246608
121aa096170044
13a34741c5792
144c62db1b700
1526bb7b6a0aa
hex14940282334

1414120612660 has 96 divisors (see below), whose sum is σ = 3463642425600. Its totient is φ = 484772770944.

The previous prime is 1414120612657. The next prime is 1414120612733. The reversal of 1414120612660 is 662160214141.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82606422 + ... + 82623538.

It is an arithmetic number, because the mean of its divisors is an integer number (36079608600).

Almost surely, 21414120612660 is an apocalyptic number.

1414120612660 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 1414120612660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1731821212800).

1414120612660 is an abundant number, since it is smaller than the sum of its proper divisors (2049521812940).

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

1414120612660 is a wasteful number, since it uses less digits than its factorization.

1414120612660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29190 (or 29174 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The spelling of 1414120612660 in words is "one trillion, four hundred fourteen billion, one hundred twenty million, six hundred twelve thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 343 490 686 980 1372 1715 3430 6860 12043 17117 24086 34234 48172 60215 68468 84301 85585 119819 120430 168602 171170 239638 240860 337204 342340 421505 479276 590107 599095 838733 843010 1180214 1198190 1677466 1686020 2360428 2396380 2950535 3354932 4130749 4193665 5871131 5901070 8261498 8387330 11742262 11802140 16522996 16774660 20653745 23484524 29355655 41307490 58711310 82614980 117422620 206140031 412280062 824560124 1030700155 1442980217 2061400310 2885960434 4122800620 5771920868 7214901085 10100861519 14429802170 20201723038 28859604340 40403446076 50504307595 70706030633 101008615190 141412061266 202017230380 282824122532 353530153165 707060306330 1414120612660