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3314440012240 = 245759100315981
BaseRepresentation
bin110000001110110100000…
…001010000000111010000
3102201212011000121221002101
4300032310001100013100
5413300433120342430
611014344400130144
7461313625155460
oct60166401200720
912655130557071
103314440012240
111068711a85995
1245643b306954
131b072017b246
14b65c3b2dba0
155b33999edca
hex303b40501d0

3314440012240 has 80 divisors (see below), whose sum is σ = 8956210872960. Its totient is φ = 1117118753280.

The previous prime is 3314440012153. The next prime is 3314440012283. The reversal of 3314440012240 is 422100444133.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 3314440012199 and 3314440012208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50124951 + ... + 50191030.

It is an arithmetic number, because the mean of its divisors is an integer number (111952635912).

Almost surely, 23314440012240 is an apocalyptic number.

It is an amenable number.

3314440012240 is an abundant number, since it is smaller than the sum of its proper divisors (5641770860720).

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

3314440012240 is a wasteful number, since it uses less digits than its factorization.

3314440012240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100316060 (or 100316054 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 3314440012240 its reverse (422100444133), we get a palindrome (3736540456373).

The spelling of 3314440012240 in words is "three trillion, three hundred fourteen billion, four hundred forty million, twelve thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 59 70 80 112 118 140 236 280 295 413 472 560 590 826 944 1180 1652 2065 2360 3304 4130 4720 6608 8260 16520 33040 100315981 200631962 401263924 501579905 702211867 802527848 1003159810 1404423734 1605055696 2006319620 2808847468 3511059335 4012639240 5617694936 5918642879 7022118670 8025278480 11235389872 11837285758 14044237340 23674571516 28088474680 29593214395 41430500153 47349143032 56176949360 59186428790 82861000306 94698286064 118372857580 165722000612 207152500765 236745715160 331444001224 414305001530 473491430320 662888002448 828610003060 1657220006120 3314440012240