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4301311314144 = 253135365029501
BaseRepresentation
bin111110100101111010001…
…000100000100011100000
3120020012102210002101111210
4332211322020200203200
51030433041144023034
613051554541110120
7622521334630665
oct76457210404340
916205383071453
104301311314144
1114091a3113669
12595758558340
132527c54c4070
1410c2826a9a6c
1576d488418e9
hex3e97a2208e0

4301311314144 has 96 divisors (see below), whose sum is σ = 12388900485024. Its totient is φ = 1298509056000.

The previous prime is 4301311314127. The next prime is 4301311314151. The reversal of 4301311314144 is 4414131131034.

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, 32448607 + ... + 32580894.

It is an arithmetic number, because the mean of its divisors is an integer number (129051046719).

Almost surely, 24301311314144 is an apocalyptic number.

It is an amenable number.

4301311314144 is an abundant number, since it is smaller than the sum of its proper divisors (8087589170880).

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

4301311314144 is a wasteful number, since it uses less digits than its factorization.

4301311314144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65029580 (or 65029572 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 4301311314144 its reverse (4414131131034), we get a palindrome (8715442445178).

The spelling of 4301311314144 in words is "four trillion, three hundred one billion, three hundred eleven million, three hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 53 78 96 104 106 156 159 208 212 312 318 416 424 624 636 689 848 1248 1272 1378 1696 2067 2544 2756 4134 5088 5512 8268 11024 16536 22048 33072 66144 65029501 130059002 195088503 260118004 390177006 520236008 780354012 845383513 1040472016 1560708024 1690767026 2080944032 2536150539 3121416048 3381534052 3446563553 5072301078 6242832096 6763068104 6893127106 10144602156 10339690659 13526136208 13786254212 20289204312 20679381318 27052272416 27572508424 40578408624 41358762636 44805326189 55145016848 81156817248 82717525272 89610652378 110290033696 134415978567 165435050544 179221304756 268831957134 330870101088 358442609512 537663914268 716885219024 1075327828536 1433770438048 2150655657072 4301311314144