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14002232023104 = 263136191965059
BaseRepresentation
bin1100101111000010011000…
…0100001101100001000000
31211120121012121212110211220
43023300212010031201000
53313403032344214404
645440311523035040
72643425235262413
oct313604604154100
954517177773756
1014002232023104
114509349a37686
1216a188720ba80
137a75354b8390
143659d6a83b7a
1519436bd434d9
hexcbc2610d840

14002232023104 has 112 divisors (see below), whose sum is σ = 40551441416640. Its totient is φ = 4237749872640.

The previous prime is 14002232023103. The next prime is 14002232023139. The reversal of 14002232023104 is 40132023220041.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (14002232023103) 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, 45830274 + ... + 46134785.

It is an arithmetic number, because the mean of its divisors is an integer number (362066441220).

Almost surely, 214002232023104 is an apocalyptic number.

It is an amenable number.

14002232023104 is an abundant number, since it is smaller than the sum of its proper divisors (26549209393536).

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

14002232023104 is a wasteful number, since it uses less digits than its factorization.

14002232023104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91965148 (or 91965138 counting only the distinct ones).

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

Adding to 14002232023104 its reverse (40132023220041), we get a palindrome (54134255243145).

The spelling of 14002232023104 in words is "fourteen trillion, two billion, two hundred thirty-two million, twenty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 61 64 78 96 104 122 156 183 192 208 244 312 366 416 488 624 732 793 832 976 1248 1464 1586 1952 2379 2496 2928 3172 3904 4758 5856 6344 9516 11712 12688 19032 25376 38064 50752 76128 152256 91965059 183930118 275895177 367860236 551790354 735720472 1103580708 1195545767 1471440944 2207161416 2391091534 2942881888 3586637301 4414322832 4782183068 5609868599 5885763776 7173274602 8828645664 9564366136 11219737198 14346549204 16829605797 17657291328 19128732272 22439474396 28693098408 33659211594 38257464544 44878948792 57386196816 67318423188 72928291787 76514929088 89757897584 114772393632 134636846376 145856583574 179515795168 218784875361 229544787264 269273692752 291713167148 359031590336 437569750722 538547385504 583426334296 875139501444 1077094771008 1166852668592 1750279002888 2333705337184 3500558005776 4667410674368 7001116011552 14002232023104