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3403223514132 = 22313611493239539
BaseRepresentation
bin110001100001011111111…
…011011011110000010100
3110001100022111110010112020
4301201133323123300110
5421224300204423012
611123230322453140
7500606023401351
oct61413773336024
913040274403466
103403223514132
1110a2331a51a42
1246b6988041b0
131b8bcbc50850
14baa07245628
155d7d4132a8c
hex3185fedbc14

3403223514132 has 96 divisors (see below), whose sum is σ = 8697739559040. Its totient is φ = 1029285204480.

The previous prime is 3403223514127. The next prime is 3403223514149. The reversal of 3403223514132 is 2314153223043.

It is a junction number, because it is equal to n+sod(n) for n = 3403223514093 and 3403223514102.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 14087619 + ... + 14327157.

It is an arithmetic number, because the mean of its divisors is an integer number (90601453740).

Almost surely, 23403223514132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3403223514132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4348869779520).

3403223514132 is an abundant number, since it is smaller than the sum of its proper divisors (5294516044908).

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

3403223514132 is a wasteful number, since it uses less digits than its factorization.

3403223514132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241113 (or 241111 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 33.

Adding to 3403223514132 its reverse (2314153223043), we get a palindrome (5717376737175).

The spelling of 3403223514132 in words is "three trillion, four hundred three billion, two hundred twenty-three million, five hundred fourteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 61 78 122 156 183 244 366 732 793 1493 1586 2379 2986 3172 4479 4758 5972 8958 9516 17916 19409 38818 58227 77636 91073 116454 182146 232908 239539 273219 364292 479078 546438 718617 958156 1092876 1183949 1437234 2367898 2874468 3114007 3551847 4735796 6228014 7103694 9342021 12456028 14207388 14611879 18684042 29223758 37368084 43835637 58447516 87671274 175342548 189954427 357631727 379908854 569863281 715263454 759817708 1072895181 1139726562 1430526908 2145790362 2279453124 4291580724 4649212451 9298424902 13947637353 18596849804 21815535347 27895274706 43631070694 55790549412 65446606041 87262141388 130893212082 261786424164 283601959511 567203919022 850805878533 1134407838044 1701611757066 3403223514132