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133314030004430 = 25111972788039967
BaseRepresentation
bin11110010011111110010111…
…011001101110100011001110
3122111000200210222010122212202
4132103332113121232203032
5114433204113140120210
61151311341522201502
740036422641024222
oct3623762731564316
9574020728118782
10133314030004430
11395291874a2190
1212b5119aab3292
1359505c77c9852
1424cc60d680782
151062c0d0599a5
hex793f9766e8ce

133314030004430 has 128 divisors (see below), whose sum is σ = 275996255109120. Its totient is φ = 45853381031040.

The previous prime is 133314030004427. The next prime is 133314030004457. The reversal of 133314030004430 is 34400030413331.

It is a junction number, because it is equal to n+sod(n) for n = 133314030004393 and 133314030004402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13375537307 + ... + 13375547273.

It is an arithmetic number, because the mean of its divisors is an integer number (2156220743040).

Almost surely, 2133314030004430 is an apocalyptic number.

133314030004430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

133314030004430 is an abundant number, since it is smaller than the sum of its proper divisors (142682225104690).

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

133314030004430 is a wasteful number, since it uses less digits than its factorization.

133314030004430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19534.

The product of its (nonzero) digits is 15552, while the sum is 29.

Adding to 133314030004430 its reverse (34400030413331), we get a palindrome (167714060417761).

The spelling of 133314030004430 in words is "one hundred thirty-three trillion, three hundred fourteen billion, thirty million, four thousand, four hundred thirty".

Divisors: 1 2 5 10 11 19 22 38 55 95 110 190 209 418 727 1045 1454 2090 3635 7270 7997 8803 9967 13813 15994 17606 19934 27626 39985 44015 49835 69065 79970 88030 96833 99670 109637 138130 151943 167257 189373 193666 219274 303886 334514 378746 484165 548185 759715 836285 946865 968330 1096370 1519430 1672570 1839827 1893730 2083103 3679654 4166206 6399781 7246009 9199135 10415515 12799562 14492018 18398270 20831030 31998905 36230045 63997810 70397591 72460090 79706099 87739501 121595839 137674171 140795182 159412198 175479002 243191678 275348342 351987955 398530495 438697505 607979195 688370855 703975910 797060990 877395010 965134511 1215958390 1337554229 1376741710 1514415881 1667050519 1930269022 2675108458 3028831762 3334101038 4825672555 6687771145 7572079405 8335252595 9651345110 13375542290 15144158810 16670505190 18337555709 36675111418 63786617227 91687778545 127573234454 183375557090 318933086135 637866172270 701652789497 1211945727313 1403305578994 2423891454626 3508263947485 6059728636565 7016527894970 12119457273130 13331403000443 26662806000886 66657015002215 133314030004430