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1418139072 = 26327547643
BaseRepresentation
bin101010010000111…
…0001010111000000
310122211110221002100
41110201301113000
510401020422242
6352415350400
750066661150
oct12441612700
93584427070
101418139072
11668558969
12336b22400
13197a5cb5c
14d64b4760
158477954c
hex548715c0

1418139072 has 168 divisors, whose sum is σ = 4661261696. Its totient is φ = 403812864.

The previous prime is 1418139067. The next prime is 1418139077. The reversal of 1418139072 is 2709318141.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1418139067) and next prime (1418139077).

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-3 number, since 3×14181390723 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1418139077) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2205183 + ... + 2205825.

Almost surely, 21418139072 is an apocalyptic number.

1418139072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1418139072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2330630848).

1418139072 is an abundant number, since it is smaller than the sum of its proper divisors (3243122624).

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

1418139072 is a wasteful number, since it uses less digits than its factorization.

1418139072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1215 (or 1202 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 1418139072 is about 37658.1873169700. The cubic root of 1418139072 is about 1123.4996485448.

The spelling of 1418139072 in words is "one billion, four hundred eighteen million, one hundred thirty-nine thousand, seventy-two".