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14330040402144 = 253677477297971
BaseRepresentation
bin1101000010000111100011…
…1101111100000011100000
31212201221100011011112012110
43100201320331330003200
53334240410320332034
650251044002155320
73006211521443325
oct320417075740340
955657304145173
1014330040402144
114625377250715
121735311652b40
137cc41762252c
14377813134b4c
1519cb55a16de9
hexd0878f7c0e0

14330040402144 has 96 divisors (see below), whose sum is σ = 38183028379776. Its totient is φ = 4704741296640.

The previous prime is 14330040402107. The next prime is 14330040402187. The reversal of 14330040402144 is 44120404003341.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47943079 + ... + 48241049.

It is an arithmetic number, because the mean of its divisors is an integer number (397739878956).

Almost surely, 214330040402144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14330040402144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19091514189888).

14330040402144 is an abundant number, since it is smaller than the sum of its proper divisors (23852987977632).

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

14330040402144 is a wasteful number, since it uses less digits than its factorization.

14330040402144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305528 (or 305520 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 14330040402144 its reverse (44120404003341), we get a palindrome (58450444405485).

The spelling of 14330040402144 in words is "fourteen trillion, three hundred thirty billion, forty million, four hundred two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 67 96 134 201 268 402 536 804 1072 1608 2144 3216 6432 7477 14954 22431 29908 44862 59816 89724 119632 179448 239264 297971 358896 500959 595942 717792 893913 1001918 1191884 1502877 1787826 2003836 2383768 3005754 3575652 4007672 4767536 6011508 7151304 8015344 9535072 12023016 14302608 16030688 19964057 24046032 28605216 39928114 48092064 59892171 79856228 119784342 159712456 239568684 319424912 479137368 638849824 958274736 1916549472 2227929167 4455858334 6683787501 8911716668 13367575002 17823433336 26735150004 35646866672 53470300008 71293733344 106940600016 149271254189 213881200032 298542508378 447813762567 597085016756 895627525134 1194170033512 1791255050268 2388340067024 3582510100536 4776680134048 7165020201072 14330040402144