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1014344240310 = 232514237920233
BaseRepresentation
bin11101100001010111010…
…00001100110010110110
310120222012101122022222200
432300223220030302312
5113104334111142220
62053552221205330
7133166252532432
oct16605350146266
93528171568880
101014344240310
113611a9974a55
12144705a00846
1374862cc50bb
143714752b9c2
151b5babe6890
hexec2ba0ccb6

1014344240310 has 48 divisors (see below), whose sum is σ = 2639148692544. Its totient is φ = 270301677696.

The previous prime is 1014344240243. The next prime is 1014344240321. The reversal of 1014344240310 is 130424434101.

1014344240310 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 344 + 2 + 4 + 0 + 310 = 666.

1014344240310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10143442403102 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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, 3832047 + ... + 4088186.

It is an arithmetic number, because the mean of its divisors is an integer number (54982264428).

Almost surely, 21014344240310 is an apocalyptic number.

1014344240310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1014344240310 is an abundant number, since it is smaller than the sum of its proper divisors (1624804452234).

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

1014344240310 is a wasteful number, since it uses less digits than its factorization.

1014344240310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7921669 (or 7921666 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 1014344240310 its reverse (130424434101), we get a palindrome (1144768674411).

The spelling of 1014344240310 in words is "one trillion, fourteen billion, three hundred forty-four million, two hundred forty thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1423 2846 4269 7115 8538 12807 14230 21345 25614 42690 64035 128070 7920233 15840466 23760699 39601165 47521398 71282097 79202330 118803495 142564194 237606990 356410485 712820970 11270491559 22540983118 33811474677 56352457795 67622949354 101434424031 112704915590 169057373385 202868848062 338114746770 507172120155 1014344240310