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4314402100 = 2252235773251
BaseRepresentation
bin1000000010010100…
…01000110100110100
3102010200022100001101
410001022020310310
532313441331400
61552040335444
7211625545531
oct40112106464
912120270041
104314402100
111914405178
12a04a74584
13539ac2968
142ccdd5d88
151a3b7b56a
hex101288d34

4314402100 has 72 divisors (see below), whose sum is σ = 9789248448. Its totient is φ = 1647360000.

The previous prime is 4314402073. The next prime is 4314402133. The reversal of 4314402100 is 12044134.

It is a super-2 number, since 2×43144021002 = 37228130960968820000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1325475 + ... + 1328725.

It is an arithmetic number, because the mean of its divisors is an integer number (135961784).

Almost surely, 24314402100 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 4314402100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4894624224).

4314402100 is an abundant number, since it is smaller than the sum of its proper divisors (5474846348).

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

4314402100 is a wasteful number, since it uses less digits than its factorization.

4314402100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3865 (or 3858 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 4314402100 is about 65684.1084281426. The cubic root of 4314402100 is about 1627.9467918829.

Adding to 4314402100 its reverse (12044134), we get a palindrome (4326446234).

The spelling of 4314402100 in words is "four billion, three hundred fourteen million, four hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 575 577 1150 1154 2300 2308 2885 3251 5770 6502 11540 13004 13271 14425 16255 26542 28850 32510 53084 57700 65020 66355 74773 81275 132710 149546 162550 265420 299092 325100 331775 373865 663550 747730 1327100 1495460 1869325 1875827 3738650 3751654 7477300 7503308 9379135 18758270 37516540 43144021 46895675 86288042 93791350 172576084 187582700 215720105 431440210 862880420 1078600525 2157201050 4314402100