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23032414466432 = 27767794856569
BaseRepresentation
bin1010011110010101001101…
…11000011111000110000000
310000112212200120021021202122
411033022212320133012000
511004330341100411212
6120552540052103412
74565015462502410
oct517124670370600
9100485616237678
1023032414466432
11737aaa0570148
1226bba05004b68
13cb0c4148b197
14598abc106640
1529e1d5186272
hex14f2a6e1f180

23032414466432 has 128 divisors (see below), whose sum is σ = 53896271232000. Its totient is φ = 9600619032576.

The previous prime is 23032414466423. The next prime is 23032414466437. The reversal of 23032414466432 is 23466441423032.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23032414466437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2314244 + ... + 7170812.

It is an arithmetic number, because the mean of its divisors is an integer number (421064619000).

Almost surely, 223032414466432 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 23032414466432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26948135616000).

23032414466432 is an abundant number, since it is smaller than the sum of its proper divisors (30863856765568).

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

23032414466432 is an equidigital number, since it uses as much as digits as its factorization.

23032414466432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4856736 (or 4856724 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 44.

Adding to 23032414466432 its reverse (23466441423032), we get a palindrome (46498855889464).

The spelling of 23032414466432 in words is "twenty-three trillion, thirty-two billion, four hundred fourteen million, four hundred sixty-six thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 67 79 112 128 134 158 224 268 316 448 469 536 553 632 896 938 1072 1106 1264 1876 2144 2212 2528 3752 4288 4424 5056 5293 7504 8576 8848 10112 10586 15008 17696 21172 30016 35392 37051 42344 60032 70784 74102 84688 148204 169376 296408 338752 592816 677504 1185632 2371264 4742528 4856569 9713138 19426276 33995983 38852552 67991966 77705104 135983932 155410208 271967864 310820416 325390123 383668951 543935728 621640832 650780246 767337902 1087871456 1301560492 1534675804 2175742912 2277730861 2603120984 2685682657 3069351608 4351485824 4555461722 5206241968 5371365314 6138703216 9110923444 10412483936 10742730628 12277406432 18221846888 20824967872 21485461256 24554812864 25705819717 36443693776 41649935744 42970922512 49109625728 51411639434 72887387552 85941845024 102823278868 145774775104 171883690048 179940738019 205646557736 291549550208 343767380096 359881476038 411293115472 719762952076 822586230944 1439525904152 1645172461888 2879051808304 3290344923776 5758103616608 11516207233216 23032414466432