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2413234200432 = 2431121137358073
BaseRepresentation
bin100011000111011111111…
…101111001111101110000
322112200222102220021000110
4203013133331321331300
5304014300423403212
65044342520021320
7336231123152556
oct43073775717560
98480872807013
102413234200432
118504a087a910
1232b84b301840
1314674a944533
1484b30543bd6
1542b9168aa3c
hex231dff79f70

2413234200432 has 160 divisors (see below), whose sum is σ = 6851602112256. Its totient is φ = 725853542400.

The previous prime is 2413234200431. The next prime is 2413234200491. The reversal of 2413234200432 is 2340024323142.

It is a super-2 number, since 2×24132342004322 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2413234200432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2413234200431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41526148 + ... + 41584220.

Almost surely, 22413234200432 is an apocalyptic number.

2413234200432 is a gapful number since it is divisible by the number (22) 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 2413234200432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3425801056128).

2413234200432 is an abundant number, since it is smaller than the sum of its proper divisors (4438367911824).

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

2413234200432 is a wasteful number, since it uses less digits than its factorization.

2413234200432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58679 (or 58673 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 2413234200432 its reverse (2340024323142), we get a palindrome (4753258523574).

The spelling of 2413234200432 in words is "two trillion, four hundred thirteen billion, two hundred thirty-four million, two hundred thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 211 264 373 422 528 633 746 844 1119 1266 1492 1688 2238 2321 2532 2984 3376 4103 4476 4642 5064 5968 6963 8206 8952 9284 10128 12309 13926 16412 17904 18568 24618 27852 32824 37136 49236 55704 58073 65648 78703 98472 111408 116146 157406 174219 196944 232292 236109 314812 348438 464584 472218 629624 638803 696876 865733 929168 944436 1259248 1277606 1393752 1731466 1888872 1916409 2555212 2597199 2787504 3462932 3777744 3832818 5110424 5194398 6925864 7665636 10220848 10388796 12253403 13851728 15331272 20777592 21661229 24506806 30662544 36760209 41555184 43322458 49013612 64983687 73520418 86644916 98027224 129967374 134787433 147040836 173289832 196054448 238273519 259934748 269574866 294081672 346579664 404362299 476547038 519869496 539149732 588163344 714820557 808724598 953094076 1039738992 1078299464 1429641114 1617449196 1906188152 2156598928 2859282228 3234898392 3812376304 4570519319 5718564456 6469796784 9141038638 11437128912 13711557957 18282077276 27423115914 36564154552 50275712509 54846231828 73128309104 100551425018 109692463656 150827137527 201102850036 219384927312 301654275054 402205700072 603308550108 804411400144 1206617100216 2413234200432