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1407417121 = 11155382387
BaseRepresentation
bin101001111100011…
…0111101100100001
310122002022012100001
41103320313230201
510340244321441
6351353500001
746606563625
oct12370675441
93562265301
101407417121
116624a5350
12333411601
131957777c6
14d4cc3185
158385c731
hex53e37b21

1407417121 has 8 divisors (see below), whose sum is σ = 1536371424. Its totient is φ = 1278630720.

The previous prime is 1407417113. The next prime is 1407417163. The reversal of 1407417121 is 1217147041.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1407417121 - 23 = 1407417113 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1407417121.

It is not an unprimeable number, because it can be changed into a prime (1407417421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24111 + ... + 58276.

It is an arithmetic number, because the mean of its divisors is an integer number (192046428).

Almost surely, 21407417121 is an apocalyptic number.

1407417121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1407417121 is a deficient number, since it is larger than the sum of its proper divisors (128954303).

1407417121 is a wasteful number, since it uses less digits than its factorization.

1407417121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83951.

The product of its (nonzero) digits is 1568, while the sum is 28.

The square root of 1407417121 is about 37515.5583858217. The cubic root of 1407417121 is about 1120.6610471002.

The spelling of 1407417121 in words is "one billion, four hundred seven million, four hundred seventeen thousand, one hundred twenty-one".

Divisors: 1 11 1553 17083 82387 906257 127947011 1407417121