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1454129118 = 2331310120509
BaseRepresentation
bin101011010101100…
…0011111111011110
310202100012102011000
41112223003333132
510434224112433
6400143011130
751014615331
oct12653037736
93670172130
101454129118
116868aa802
12346b99aa6
131a2351440
14db1a2618
15879d8113
hex56ac3fde

1454129118 has 64 divisors (see below), whose sum is σ = 3514593600. Its totient is φ = 442972800.

The previous prime is 1454129029. The next prime is 1454129123. The reversal of 1454129118 is 8119214541.

1454129118 is a `hidden beast` number, since 14 + 541 + 2 + 91 + 18 = 666.

It is a super-2 number, since 2×14541291182 = 4228982983630915848, which 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 31 ways as a sum of consecutive naturals, for example, 60648 + ... + 81156.

It is an arithmetic number, because the mean of its divisors is an integer number (54915525).

Almost surely, 21454129118 is an apocalyptic number.

1454129118 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1454129118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1757296800).

1454129118 is an abundant number, since it is smaller than the sum of its proper divisors (2060464482).

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

1454129118 is a wasteful number, since it uses less digits than its factorization.

1454129118 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20634 (or 20628 counting only the distinct ones).

The product of its digits is 11520, while the sum is 36.

The square root of 1454129118 is about 38133.0449610308. The cubic root of 1454129118 is about 1132.9245564033.

The spelling of 1454129118 in words is "one billion, four hundred fifty-four million, one hundred twenty-nine thousand, one hundred eighteen".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 101 117 202 234 303 351 606 702 909 1313 1818 2626 2727 3939 5454 7878 11817 20509 23634 35451 41018 61527 70902 123054 184581 266617 369162 533234 553743 799851 1107486 1599702 2071409 2399553 4142818 4799106 6214227 7198659 12428454 14397318 18642681 26928317 37285362 53856634 55928043 80784951 111856086 161569902 242354853 484709706 727064559 1454129118