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201341414440 = 23542187713633
BaseRepresentation
bin1011101110000011100…
…0100010110000101000
3201020200211101121011201
42323200320202300220
511244321400230230
6232254525133544
720355266533165
oct2734070426050
9636624347151
10201341414440
117842aa85781
12330309ba2b4
1315ca91c772a
149a6030306c
1553860e55ca
hex2ee0e22c28

201341414440 has 64 divisors (see below), whose sum is σ = 454645362960. Its totient is φ = 80247767040.

The previous prime is 201341414377. The next prime is 201341414471. The reversal of 201341414440 is 44414143102.

It can be written as a sum of positive squares in 8 ways, for example, as 73948100356 + 127393314084 = 271934^2 + 356922^2 .

It is a junction number, because it is equal to n+sod(n) for n = 201341414399 and 201341414408.

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, 14761864 + ... + 14775496.

Almost surely, 2201341414440 is an apocalyptic number.

201341414440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201341414440 is an abundant number, since it is smaller than the sum of its proper divisors (253303948520).

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

201341414440 is a wasteful number, since it uses less digits than its factorization.

201341414440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14942 (or 14938 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 201341414440 its reverse (44414143102), we get a palindrome (245755557542).

The spelling of 201341414440 in words is "two hundred one billion, three hundred forty-one million, four hundred fourteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 421 842 877 1684 1754 2105 3368 3508 4210 4385 7016 8420 8770 13633 16840 17540 27266 35080 54532 68165 109064 136330 272660 369217 545320 738434 1476868 1846085 2953736 3692170 5739493 7384340 11478986 11956141 14768680 22957972 23912282 28697465 45915944 47824564 57394930 59780705 95649128 114789860 119561410 229579720 239122820 478245640 5033535361 10067070722 20134141444 25167676805 40268282888 50335353610 100670707220 201341414440