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1011341412240 = 24354213922551
BaseRepresentation
bin11101011011110001010…
…01010100011110010000
310120200110010021212021020
432231320221110132100
5113032211400142430
62052334232155440
7133031661110565
oct16557051243620
93520403255236
101011341412240
1135a9a8952865
12144008238b80
13744a4b60563
1436d407ca86c
151b492294b10
hexeb78a54790

1011341412240 has 40 divisors (see below), whose sum is σ = 3135158378688. Its totient is φ = 269691043200.

The previous prime is 1011341412173. The next prime is 1011341412251. The reversal of 1011341412240 is 422141431101.

It is a happy number.

1011341412240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×10113414122402 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1011341412240.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2106961036 + ... + 2106961515.

Almost surely, 21011341412240 is an apocalyptic number.

1011341412240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011341412240 is an abundant number, since it is smaller than the sum of its proper divisors (2123816966448).

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

1011341412240 is a wasteful number, since it uses less digits than its factorization.

1011341412240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4213922567 (or 4213922561 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 1011341412240 its reverse (422141431101), we get a palindrome (1433482843341).

The spelling of 1011341412240 in words is "one trillion, eleven billion, three hundred forty-one million, four hundred twelve thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 4213922551 8427845102 12641767653 16855690204 21069612755 25283535306 33711380408 42139225510 50567070612 63208838265 67422760816 84278451020 101134141224 126417676530 168556902040 202268282448 252835353060 337113804080 505670706120 1011341412240