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1040214214212 = 2231133079192719
BaseRepresentation
bin11110010001100011001…
…10010100011001000100
310200102222022120011122020
433020301212110121010
5114020324314323322
62113511240403140
7135103322635035
oct17106146243104
93612868504566
101040214214212
11371174895278
121497257764b0
1377126841174
14384bd256a8c
151c0d1e6405c
hexf231994644

1040214214212 has 96 divisors (see below), whose sum is σ = 2460199526400. Its totient is φ = 342051558912.

The previous prime is 1040214214201. The next prime is 1040214214217. The reversal of 1040214214212 is 2124124120401.

It is a happy number.

It is a super-2 number, since 2×10402142142122 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1040214214217) 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 31 ways as a sum of consecutive naturals, for example, 382570989 + ... + 382573707.

It is an arithmetic number, because the mean of its divisors is an integer number (25627078400).

Almost surely, 21040214214212 is an apocalyptic number.

1040214214212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1040214214212 is an abundant number, since it is smaller than the sum of its proper divisors (1419985312188).

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

1040214214212 is a wasteful number, since it uses less digits than its factorization.

1040214214212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4065 (or 4063 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 1040214214212 its reverse (2124124120401), we get a palindrome (3164338334613).

The spelling of 1040214214212 in words is "one trillion, forty billion, two hundred fourteen million, two hundred fourteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 113 226 307 339 452 614 678 919 921 1228 1356 1838 1842 2719 2757 3676 3684 5438 5514 8157 10876 11028 16314 32628 34691 69382 103847 104073 138764 207694 208146 282133 307247 311541 415388 416292 564266 614494 623082 834733 846399 921741 1128532 1228988 1246164 1669466 1692798 1843482 2498761 2504199 3338932 3385596 3686964 4997522 5008398 7496283 9995044 10016796 14992566 29985132 31881029 63762058 94324829 95643087 127524116 188649658 191286174 282359993 282974487 377299316 382572348 564719986 565948974 767119627 847079979 1129439972 1131897948 1534239254 1694159958 2301358881 3068478508 3388319916 4602717762 9205435524 86684517851 173369035702 260053553553 346738071404 520107107106 1040214214212