Search a number
-
+
1349307474228 = 2232712174399667
BaseRepresentation
bin10011101000101000111…
…111100010000100110100
311202222210120001200002100
4103220220333202010310
5134101340203133403
62511510245542100
7166325045202510
oct23505077420464
94688716050070
101349307474228
1148026899039a
12199608414930
139a315543aac
1449441d29140
1525172ac22a3
hex13a28fe2134

1349307474228 has 72 divisors (see below), whose sum is σ = 3901203214272. Its totient is φ = 385199557632.

The previous prime is 1349307474149. The next prime is 1349307474247. The reversal of 1349307474228 is 8224747039431.

1349307474228 is a `hidden beast` number, since 1 + 3 + 49 + 307 + 4 + 74 + 228 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1893150 + ... + 2506517.

It is an arithmetic number, because the mean of its divisors is an integer number (54183377976).

Almost surely, 21349307474228 is an apocalyptic number.

1349307474228 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1349307474228 is an abundant number, since it is smaller than the sum of its proper divisors (2551895740044).

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

1349307474228 is a wasteful number, since it uses less digits than its factorization.

1349307474228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4400901 (or 4400896 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 1349307474228 in words is "one trillion, three hundred forty-nine billion, three hundred seven million, four hundred seventy-four thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 1217 2434 3651 4868 7302 8519 10953 14604 17038 21906 25557 34076 43812 51114 76671 102228 153342 306684 4399667 8799334 13199001 17598668 26398002 30797669 39597003 52796004 61595338 79194006 92393007 123190676 158388012 184786014 277179021 369572028 554358042 1108716084 5354394739 10708789478 16063184217 21417578956 32126368434 37480763173 48189552651 64252736868 74961526346 96379105302 112442289519 149923052692 192758210604 224884579038 337326868557 449769158076 674653737114 1349307474228