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1214092844982 = 233233146767523
BaseRepresentation
bin10001101010101101100…
…100101001111110110110
311022001210012212210221000
4101222231210221332312
5124342430232014412
62325425131104130
7153500231623443
oct21525544517666
94261705783830
101214092844982
1142899183a116
121773712a2046
138a647203734
1442a9608c9ca
15218ac05d4dc
hex11aad929fb6

1214092844982 has 128 divisors (see below), whose sum is σ = 2912369541120. Its totient is φ = 373807193760.

The previous prime is 1214092844981. The next prime is 1214092845001. The reversal of 1214092844982 is 2894482904121.

1214092844982 is a `hidden beast` number, since 1 + 2 + 140 + 9 + 2 + 8 + 4 + 498 + 2 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1214092844981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17946673 + ... + 18014195.

It is an arithmetic number, because the mean of its divisors is an integer number (22752887040).

Almost surely, 21214092844982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1214092844982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1456184770560).

1214092844982 is an abundant number, since it is smaller than the sum of its proper divisors (1698276696138).

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

1214092844982 is a wasteful number, since it uses less digits than its factorization.

1214092844982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68055 (or 68049 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 1214092844982 in words is "one trillion, two hundred fourteen billion, ninety-two million, eight hundred forty-four thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 9 18 23 27 31 46 54 62 69 93 138 186 207 279 414 467 558 621 713 837 934 1242 1401 1426 1674 2139 2802 4203 4278 6417 8406 10741 12609 12834 14477 19251 21482 25218 28954 32223 38502 43431 64446 67523 86862 96669 130293 135046 193338 202569 260586 290007 332971 390879 405138 580014 607707 665942 781758 998913 1215414 1553029 1823121 1997826 2093213 2996739 3106058 3646242 4186426 4659087 5993478 6279639 8990217 9318174 12559278 13977261 17980434 18838917 27954522 31533241 37677834 41931783 48143899 56516751 63066482 83863566 94599723 96287798 113033502 144431697 189199446 283799169 288863394 433295091 567598338 725264543 851397507 866590182 977530471 1299885273 1450529086 1702795014 1955060942 2175793629 2599770546 2932591413 4351587258 5865182826 6527380887 8797774239 13054761774 17595548478 19582142661 22483200833 26393322717 39164285322 44966401666 52786645434 67449602499 134899204998 202348807497 404697614994 607046422491 1214092844982