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2040402203334 = 2321131457727399
BaseRepresentation
bin11101101100010001011…
…100101101001011000110
321020001122010201102201100
4131230101130231023012
5231412220431001314
64201203044240530
7300262032365235
oct35542134551306
97201563642640
102040402203334
1171736993a180
1228b53a6a0146
1311a541a4a071
1470a82636b1c
153811ee60c09
hex1db1172d2c6

2040402203334 has 96 divisors (see below), whose sum is σ = 4989242419200. Its totient is φ = 597048278400.

The previous prime is 2040402203327. The next prime is 2040402203341. The reversal of 2040402203334 is 4333022040402.

2040402203334 is a `hidden beast` number, since 2 + 0 + 404 + 0 + 220 + 3 + 3 + 34 = 666.

It is an interprime number because it is at equal distance from previous prime (2040402203327) and next prime (2040402203341).

It is a junction number, because it is equal to n+sod(n) for n = 2040402203298 and 2040402203307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2441367 + ... + 3168765.

It is an arithmetic number, because the mean of its divisors is an integer number (51971275200).

Almost surely, 22040402203334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2040402203334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2494621209600).

2040402203334 is an abundant number, since it is smaller than the sum of its proper divisors (2948840215866).

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

2040402203334 is a wasteful number, since it uses less digits than its factorization.

2040402203334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727906 (or 727903 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 2040402203334 its reverse (4333022040402), we get a palindrome (6373424243736).

The spelling of 2040402203334 in words is "two trillion, forty billion, four hundred two million, two hundred three thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 31 33 62 66 93 99 186 198 279 341 457 558 682 914 1023 1371 2046 2742 3069 4113 5027 6138 8226 10054 14167 15081 28334 30162 42501 45243 85002 90486 127503 155837 255006 311674 467511 727399 935022 1402533 1454798 2182197 2805066 4364394 6546591 8001389 13093182 16002778 22549369 24004167 45098738 48008334 67648107 72012501 135296214 144025002 202944321 248043059 332421343 405888642 496086118 664842686 744129177 997264029 1488258354 1994528058 2232387531 2991792087 3656634773 4464775062 5983584174 7313269546 10305061633 10969904319 20610123266 21939808638 30915184899 32909712957 61830369798 65819425914 92745554697 113355677963 185491109394 226711355926 340067033889 680134067778 1020201101667 2040402203334