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1214146065 = 351124347331
BaseRepresentation
bin100100001011110…
…0110011000010001
310010121122000021210
41020113212120101
54441310133230
6320251210333
742042033306
oct11027463021
93117560253
101214146065
11573398a00
1229a7469a9
13164708232
14b73730ad
15718d1eb0
hex485e6611

1214146065 has 96 divisors (see below), whose sum is σ = 2238179328. Its totient is φ = 561052800.

The previous prime is 1214146033. The next prime is 1214146067. The reversal of 1214146065 is 5606414121.

It is not a de Polignac number, because 1214146065 - 25 = 1214146033 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1214146067) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 3667950 + ... + 3668280.

It is an arithmetic number, because the mean of its divisors is an integer number (23314368).

Almost surely, 21214146065 is an apocalyptic number.

1214146065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1214146065 is a deficient number, since it is larger than the sum of its proper divisors (1024033263).

1214146065 is a wasteful number, since it uses less digits than its factorization.

1214146065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 1214146065 is about 34844.5987923523. The cubic root of 1214146065 is about 1066.8179446359.

The spelling of 1214146065 in words is "one billion, two hundred fourteen million, one hundred forty-six thousand, sixty-five".

Divisors: 1 3 5 11 15 33 43 47 55 121 129 141 165 215 235 331 363 473 517 605 645 705 993 1419 1551 1655 1815 2021 2365 2585 3641 4965 5203 5687 6063 7095 7755 10105 10923 14233 15557 15609 17061 18205 22231 26015 28435 30315 40051 42699 46671 54615 66693 71165 77785 78045 85305 111155 120153 156563 171127 200255 213495 233355 244541 333465 469689 513381 600765 668951 733623 782815 855635 1222705 1722193 1882397 2006853 2348445 2566905 3344755 3668115 5166579 5647191 7358461 8610965 9411985 10034265 22075383 25832895 28235955 36792305 80943071 110376915 242829213 404715355 1214146065