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1014216056304 = 243119719802719
BaseRepresentation
bin11101100001000111111…
…11001101110111110000
310120221212110102220120220
432300203333031313300
5113104103302300204
62053531401533040
7133163135144223
oct16604377156760
93527773386526
101014216056304
11361143583460
1214468aaa4180
1374842594089
14371344c15ba
151b5ae8261d9
hexec23fcddf0

1014216056304 has 80 divisors (see below), whose sum is σ = 2887711841280. Its totient is φ = 304169748480.

The previous prime is 1014216056299. The next prime is 1014216056309. The reversal of 1014216056304 is 4036506124101.

It is an interprime number because it is at equal distance from previous prime (1014216056299) and next prime (1014216056309).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1014216056309) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9850144 + ... + 9952575.

It is an arithmetic number, because the mean of its divisors is an integer number (36096398016).

Almost surely, 21014216056304 is an apocalyptic number.

It is an amenable number.

1014216056304 is an abundant number, since it is smaller than the sum of its proper divisors (1873495784976).

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

1014216056304 is a wasteful number, since it uses less digits than its factorization.

1014216056304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19802838 (or 19802832 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 1014216056304 in words is "one trillion, fourteen billion, two hundred sixteen million, fifty-six thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 97 132 176 194 264 291 388 528 582 776 1067 1164 1552 2134 2328 3201 4268 4656 6402 8536 12804 17072 25608 51216 19802719 39605438 59408157 79210876 118816314 158421752 217829909 237632628 316843504 435659818 475265256 653489727 871319636 950530512 1306979454 1742639272 1920863743 2613958908 3485278544 3841727486 5227917816 5762591229 7683454972 10455835632 11525182458 15366909944 21129501173 23050364916 30733819888 42259002346 46100729832 63388503519 84518004692 92201459664 126777007038 169036009384 253554014076 338072018768 507108028152 1014216056304