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10023452401144 = 2371319853849539
BaseRepresentation
bin1001000111011100010001…
…0100011101110111111000
31022111020021122001200010011
42101313010110131313320
52303211012303314034
633152413243231304
72053112331433540
oct221670424356770
938436248050104
1010023452401144
113214a1662a126
12115a741b18534
13579290b75270
142691cdb42320
15125aedd17864
hex91dc451ddf8

10023452401144 has 128 divisors (see below), whose sum is σ = 24377040576000. Its totient is φ = 3752212253184.

The previous prime is 10023452401133. The next prime is 10023452401177. The reversal of 10023452401144 is 44110425432001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11373927 + ... + 12223465.

It is an arithmetic number, because the mean of its divisors is an integer number (190445629500).

Almost surely, 210023452401144 is an apocalyptic number.

10023452401144 is a gapful number since it is divisible by the number (14) 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 10023452401144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12188520288000).

10023452401144 is an abundant number, since it is smaller than the sum of its proper divisors (14353588174856).

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

10023452401144 is a wasteful number, since it uses less digits than its factorization.

10023452401144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850437 (or 850433 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

Adding to 10023452401144 its reverse (44110425432001), we get a palindrome (54133877833145).

The spelling of 10023452401144 in words is "ten trillion, twenty-three billion, four hundred fifty-two million, four hundred one thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 13 14 19 26 28 38 52 56 76 91 104 133 152 182 247 266 364 494 532 728 853 988 1064 1706 1729 1976 3412 3458 5971 6824 6916 11089 11942 13832 16207 22178 23884 32414 44356 47768 64828 77623 88712 113449 129656 155246 210691 226898 310492 421382 453796 620984 842764 849539 907592 1474837 1685528 1699078 2949674 3398156 5899348 5946773 6796312 11044007 11798696 11893546 16141241 22088014 23787092 32282482 44176028 47574184 64564964 77308049 88352056 112988687 129129928 154616098 209836133 225977374 309232196 419672266 451954748 618464392 724656767 839344532 903909496 1449313534 1468852931 1678689064 2898627068 2937705862 5072597369 5797254136 5875411724 9420537971 10145194738 11750823448 13768478573 18841075942 20290389476 27536957146 37682151884 40580778952 55073914292 65943765797 75364303768 96379350011 110147828584 131887531594 178990221449 192758700022 263775063188 357980442898 385517400044 527550126376 715960885796 771034800088 1252931550143 1431921771592 2505863100286 5011726200572 10023452401144