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1003164355144 = 23723243787517
BaseRepresentation
bin11101001100100010100…
…00010100101001001000
310112220100020201022200201
432212101100110221020
5112413440033331034
62044503005341544
7132322230220150
oct16462120245110
93486306638621
101003164355144
11357492142836
121425058678b4
13737a0a36c33
14367a67d3760
151b164473014
hexe991414a48

1003164355144 has 96 divisors (see below), whose sum is σ = 2299426557120. Its totient is φ = 401670960768.

The previous prime is 1003164355093. The next prime is 1003164355181. The reversal of 1003164355144 is 4415534613001.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 880074 + ... + 1667590.

It is an arithmetic number, because the mean of its divisors is an integer number (23952359970).

Almost surely, 21003164355144 is an apocalyptic number.

1003164355144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1003164355144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149713278560).

1003164355144 is an abundant number, since it is smaller than the sum of its proper divisors (1296262201976).

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

1003164355144 is a wasteful number, since it uses less digits than its factorization.

1003164355144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787619 (or 787592 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

Adding to 1003164355144 its reverse (4415534613001), we get a palindrome (5418698968145).

The spelling of 1003164355144 in words is "one trillion, three billion, one hundred sixty-four million, three hundred fifty-five thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 23 28 43 46 56 86 92 161 172 184 301 322 344 529 602 644 989 1058 1204 1288 1978 2116 2408 3703 3956 4232 6923 7406 7912 13846 14812 22747 27692 29624 45494 55384 90988 159229 181976 318458 636916 787517 1273832 1575034 3150068 5512619 6300136 11025238 18112891 22050476 33863231 36225782 44100952 67726462 72451564 126790237 135452924 144903128 237042617 253580474 270905848 416596493 474085234 507160948 778854313 833192986 948170468 1014321896 1557708626 1666385972 1896340936 2916175451 3115417252 3332771944 5451980191 5832350902 6230834504 10903960382 11664701804 17913649199 21807920764 23329403608 35827298398 43615841528 71654596796 125395544393 143309193592 250791088786 501582177572 1003164355144