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10432234132104 = 23323199797119159
BaseRepresentation
bin1001011111001111000110…
…0111000001001010001000
31100221022102100000012021210
42113303301213001022020
52331410203414211404
634104300250333120
72124463326011661
oct227636147011210
940838370005253
1010432234132104
113362316221a14
121205a0612a1a0
135a89a8980cc5
14280ccc340368
15131576675689
hex97cf19c1288

10432234132104 has 128 divisors (see below), whose sum is σ = 27385827840000. Its totient is φ = 3305324715264.

The previous prime is 10432234132093. The next prime is 10432234132129. The reversal of 10432234132104 is 40123143223401.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87489277 + ... + 87608435.

It is an arithmetic number, because the mean of its divisors is an integer number (213951780000).

Almost surely, 210432234132104 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 10432234132104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13692913920000).

10432234132104 is an abundant number, since it is smaller than the sum of its proper divisors (16953593707896).

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

10432234132104 is a wasteful number, since it uses less digits than its factorization.

10432234132104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120187 (or 120183 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 10432234132104 its reverse (40123143223401), we get a palindrome (50555377355505).

The spelling of 10432234132104 in words is "ten trillion, four hundred thirty-two billion, two hundred thirty-four million, one hundred thirty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 199 276 398 552 597 796 797 1194 1592 1594 2388 2391 3188 4577 4776 4782 6376 9154 9564 13731 18308 18331 19128 27462 36616 36662 54924 54993 73324 109848 109986 119159 146648 158603 219972 238318 317206 357477 439944 475809 476636 634412 714954 951618 953272 1268824 1429908 1903236 2740657 2859816 3647869 3806472 5481314 7295738 8221971 10943607 10962628 14591476 16443942 21887214 21925256 23712641 29182952 32887884 43774428 47425282 65775768 71137923 87548856 94850564 94969723 142275846 189701128 189939446 284551692 284909169 379878892 545390743 569103384 569818338 759757784 1090781486 1139636676 1636172229 2181562972 2184303629 2279273352 3272344458 4363125944 4368607258 6544688916 6552910887 8737214516 13089377832 13105821774 17474429032 18898974877 26211643548 37797949754 52423287096 56696924631 75595899508 113393849262 151191799016 226787698524 434676422171 453575397048 869352844342 1304029266513 1738705688684 2608058533026 3477411377368 5216117066052 10432234132104