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23400434112 = 2631127074093
BaseRepresentation
bin10101110010110001…
…100100100111000000
32020101211001012220220
4111302301210213000
5340411002342422
614430000303040
71455612256656
oct256261444700
966354035826
1023400434112
119a18a31550
124650911a80
13228c023223
1411bdb66dd6
1591e55be5c
hex572c649c0

23400434112 has 112 divisors (see below), whose sum is σ = 67583620992. Its totient is φ = 7086689280.

The previous prime is 23400434087. The next prime is 23400434131. The reversal of 23400434112 is 21143400432.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5715138 + ... + 5719230.

Almost surely, 223400434112 is an apocalyptic number.

23400434112 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 23400434112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33791810496).

23400434112 is an abundant number, since it is smaller than the sum of its proper divisors (44183186880).

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

23400434112 is a wasteful number, since it uses less digits than its factorization.

23400434112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6826 (or 6816 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 23400434112 its reverse (21143400432), we get a palindrome (44543834544).

The spelling of 23400434112 in words is "twenty-three billion, four hundred million, four hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 2707 4093 5414 8121 8186 10828 12279 16242 16372 21656 24558 29777 32484 32744 43312 45023 49116 59554 64968 65488 86624 89331 90046 98232 119108 129936 130976 135069 173248 178662 180092 196464 238216 259872 261952 270138 357324 360184 392928 476432 519744 540276 714648 720368 785856 952864 1080552 1429296 1440736 1905728 2161104 2858592 2881472 4322208 5717184 8644416 11079751 22159502 33239253 44319004 66478506 88638008 121877261 132957012 177276016 243754522 265914024 354552032 365631783 487509044 531828048 709104064 731263566 975018088 1063656096 1462527132 1950036176 2127312192 2925054264 3900072352 5850108528 7800144704 11700217056 23400434112