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380014631073 = 32711839768111
BaseRepresentation
bin1011000011110101010…
…00110001100010100001
31100022212212120102210200
411201322220301202201
522211232221143243
6450324252215413
736312055032210
oct5417250614241
91308785512720
10380014631073
11137188396980
126179616a569
1329ab1cb715c
141456dc09077
159d420bcad3
hex587aa318a1

380014631073 has 96 divisors (see below), whose sum is σ = 699751084032. Its totient is φ = 193018291200.

The previous prime is 380014631069. The next prime is 380014631077. The reversal of 380014631073 is 370136410083.

380014631073 is a `hidden beast` number, since 3 + 8 + 0 + 0 + 14 + 631 + 0 + 7 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (380014631069) and next prime (380014631077).

It is not a de Polignac number, because 380014631073 - 22 = 380014631069 is a prime.

It is a super-2 number, since 2×3800146310732 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (380014631077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5545288 + ... + 5613398.

It is an arithmetic number, because the mean of its divisors is an integer number (7289073792).

Almost surely, 2380014631073 is an apocalyptic number.

380014631073 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

380014631073 is a deficient number, since it is larger than the sum of its proper divisors (319736452959).

380014631073 is a wasteful number, since it uses less digits than its factorization.

380014631073 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68315 (or 68312 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 380014631073 in words is "three hundred eighty billion, fourteen million, six hundred thirty-one thousand, seventy-three".

Divisors: 1 3 7 9 11 21 33 63 77 83 97 99 231 249 291 581 679 693 747 873 913 1067 1743 2037 2739 3201 5229 6111 6391 7469 8051 8217 9603 19173 22407 24153 56357 57519 67221 68111 72459 88561 169071 204333 265683 476777 507213 612999 619927 749221 797049 1430331 1859781 2247663 4290993 5244547 5579343 5653213 6606767 6742989 15733641 16959639 19820301 39572491 46247369 47200923 50878917 59460903 62185343 72674437 118717473 138742107 186556029 218023311 356152419 416226321 435297401 508721059 548361661 559668087 654069933 1305892203 1526163177 1645084983 3838531627 3917676609 4578489531 4935254949 6031978271 11515594881 18095934813 34546784643 42223847897 54287804439 126671543691 380014631073