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4434500112 = 243797359379
BaseRepresentation
bin1000010000101000…
…10001101000010000
3102110001021221112220
410020110101220100
533040213000422
62012010421040
7214614425520
oct41024215020
912401257486
104434500112
111976183629
12a39131780
13558952383
14300d39680
151ae4a0e5c
hex108511a10

4434500112 has 160 divisors (see below), whose sum is σ = 13299148800. Its totient is φ = 1247145984.

The previous prime is 4434500107. The next prime is 4434500153. The reversal of 4434500112 is 2110054344.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11700339 + ... + 11700717.

It is an arithmetic number, because the mean of its divisors is an integer number (83119680).

Almost surely, 24434500112 is an apocalyptic number.

4434500112 is a gapful number since it is divisible by the number (42) 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 4434500112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6649574400).

4434500112 is an abundant number, since it is smaller than the sum of its proper divisors (8864648688).

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

4434500112 is a wasteful number, since it uses less digits than its factorization.

4434500112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 4434500112 is about 66592.0424074829. The cubic root of 4434500112 is about 1642.9142255496.

Adding to 4434500112 its reverse (2110054344), we get a palindrome (6544554456).

The spelling of 4434500112 in words is "four billion, four hundred thirty-four million, five hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 97 112 168 194 291 336 359 379 388 582 679 718 758 776 1077 1137 1164 1358 1436 1516 1552 2037 2154 2274 2328 2513 2653 2716 2872 3032 4074 4308 4548 4656 5026 5306 5432 5744 6064 7539 7959 8148 8616 9096 10052 10612 10864 15078 15918 16296 17232 18192 20104 21224 30156 31836 32592 34823 36763 40208 42448 60312 63672 69646 73526 104469 110289 120624 127344 136061 139292 147052 208938 220578 243761 257341 272122 278584 294104 408183 417876 441156 487522 514682 544244 557168 588208 731283 772023 816366 835752 882312 952427 975044 1029364 1088488 1462566 1544046 1632732 1671504 1764624 1904854 1950088 2058728 2176976 2857281 2925132 3088092 3265464 3809708 3900176 4117456 5714562 5850264 6176184 6530928 7619416 11429124 11700528 12352368 13197917 15238832 22858248 26395834 39593751 45716496 52791668 79187502 92385419 105583336 158375004 184770838 211166672 277156257 316750008 369541676 554312514 633500016 739083352 1108625028 1478166704 2217250056 4434500112