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23014121045304 = 23353229547144439
BaseRepresentation
bin1010011101110011001001…
…00000100111110100111000
310000111010110122222012121210
411032321210200213310320
511004030404441422204
6120540312524403120
74563500242131204
oct516714440476470
9100433418865553
1023014121045304
117373263398094
1226b835a6a64a0
13cac2b752443c
14597c64739b04
1529d9b416d389
hex14ee64827d38

23014121045304 has 128 divisors (see below), whose sum is σ = 58984905024000. Its totient is φ = 7480011861504.

The previous prime is 23014121045299. The next prime is 23014121045309. The reversal of 23014121045304 is 40354012141032.

It is an interprime number because it is at equal distance from previous prime (23014121045299) and next prime (23014121045309).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23014121045309) 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, 159262317 + ... + 159406755.

It is an arithmetic number, because the mean of its divisors is an integer number (460819570500).

Almost surely, 223014121045304 is an apocalyptic number.

23014121045304 is a gapful number since it is divisible by the number (24) 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 23014121045304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29492452512000).

23014121045304 is an abundant number, since it is smaller than the sum of its proper divisors (35970783978696).

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

23014121045304 is a wasteful number, since it uses less digits than its factorization.

23014121045304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145277 (or 145273 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 23014121045304 its reverse (40354012141032), we get a palindrome (63368133186336).

The spelling of 23014121045304 in words is "twenty-three trillion, fourteen billion, one hundred twenty-one million, forty-five thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 24 53 106 159 212 229 318 424 458 547 636 687 916 1094 1272 1374 1641 1832 2188 2748 3282 4376 5496 6564 12137 13128 24274 28991 36411 48548 57982 72822 86973 97096 115964 125263 144439 145644 173946 231928 250526 288878 291288 347892 375789 433317 501052 577756 695784 751578 866634 1002104 1155512 1503156 1733268 3006312 3466536 6638939 7655267 13277878 15310534 19916817 22965801 26555756 30621068 33076531 39833634 45931602 53111512 61242136 66153062 79008133 79667268 91863204 99229593 132306124 158016266 159334536 183726408 198459186 237024399 264612248 316032532 396918372 474048798 632065064 793836744 948097596 1753056143 1896195192 3506112286 4187431049 5259168429 7012224572 8374862098 10518336858 12562293147 14024449144 16749724196 18092862457 21036673716 25124586294 33499448392 36185724914 42073347432 50249172588 54278587371 72371449828 100498345176 108557174742 144742899656 217114349484 434228698968 958921710221 1917843420442 2876765130663 3835686840884 5753530261326 7671373681768 11507060522652 23014121045304