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1214114021352 = 23344634046723
BaseRepresentation
bin10001101010101110110…
…101011011111111101000
311022001211200201200110000
4101222232311123333220
5124343001142140402
62325431205023000
7153500606622231
oct21525665337750
94261750650400
101214114021352
114289a2793251
121773783b4a60
138a64b70942b
1442a98c02088
15218add42c1c
hex11aaed5bfe8

1214114021352 has 80 divisors (see below), whose sum is σ = 3407989083840. Its totient is φ = 403830481824.

The previous prime is 1214114021327. The next prime is 1214114021359. The reversal of 1214114021352 is 2531204114121.

1214114021352 is a `hidden beast` number, since 1 + 214 + 11 + 402 + 1 + 35 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1214114021359) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1723338 + ... + 2323385.

It is an arithmetic number, because the mean of its divisors is an integer number (42599863548).

Almost surely, 21214114021352 is an apocalyptic number.

1214114021352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1214114021352 is an abundant number, since it is smaller than the sum of its proper divisors (2193875062488).

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

1214114021352 is a wasteful number, since it uses less digits than its factorization.

1214114021352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4047204 (or 4047191 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 1214114021352 its reverse (2531204114121), we get a palindrome (3745318135473).

The spelling of 1214114021352 in words is "one trillion, two hundred fourteen billion, one hundred fourteen million, twenty-one thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 463 648 926 1389 1852 2778 3704 4167 5556 8334 11112 12501 16668 25002 33336 37503 50004 75006 100008 150012 300024 4046723 8093446 12140169 16186892 24280338 32373784 36420507 48560676 72841014 97121352 109261521 145682028 218523042 291364056 327784563 437046084 655569126 874092168 1311138252 1873632749 2622276504 3747265498 5620898247 7494530996 11241796494 14989061992 16862694741 22483592988 33725389482 44967185976 50588084223 67450778964 101176168446 134901557928 151764252669 202352336892 303528505338 404704673784 607057010676 1214114021352