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14044442401200 = 2435222951107869
BaseRepresentation
bin1100110001011111101000…
…0000000001100110110000
31211201122011100010212001210
43030113322000001212300
53320101004223314300
645511532222000120
72646451242465261
oct314277200014660
954648140125053
1014044442401200
11452523a663482
1216a9aa7416040
137ab501493c73
14367a7ca30968
151954dc8e7050
hexcc5fa0019b0

14044442401200 has 120 divisors (see below), whose sum is σ = 45185490024400. Its totient is φ = 3728830049280.

The previous prime is 14044442401183. The next prime is 14044442401219. The reversal of 14044442401200 is 210424444041.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×140444424012002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25279135 + ... + 25828734.

Almost surely, 214044442401200 is an apocalyptic number.

14044442401200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14044442401200 is an abundant number, since it is smaller than the sum of its proper divisors (31141047623200).

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

14044442401200 is a wasteful number, since it uses less digits than its factorization.

14044442401200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51108119 (or 51108108 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 14044442401200 its reverse (210424444041), we get a palindrome (14254866845241).

The spelling of 14044442401200 in words is "fourteen trillion, forty-four billion, four hundred forty-two million, four hundred one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 229 240 300 400 458 600 687 916 1145 1200 1374 1832 2290 2748 3435 3664 4580 5496 5725 6870 9160 10992 11450 13740 17175 18320 22900 27480 34350 45800 54960 68700 91600 137400 274800 51107869 102215738 153323607 204431476 255539345 306647214 408862952 511078690 613294428 766618035 817725904 1022157380 1226588856 1277696725 1533236070 2044314760 2453177712 2555393450 3066472140 3833090175 4088629520 5110786900 6132944280 7666180350 10221573800 11703702001 12265888560 15332360700 20443147600 23407404002 30664721400 35111106003 46814808004 58518510005 61329442800 70222212006 93629616008 117037020010 140444424012 175555530015 187259232016 234074040020 280888848024 292592550025 351111060030 468148080040 561777696048 585185100050 702222120060 877777650075 936296160080 1170370200100 1404444240120 1755555300150 2340740400200 2808888480240 3511110600300 4681480800400 7022221200600 14044442401200