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1454116144 = 241329241067
BaseRepresentation
bin101011010101100…
…0000110100110000
310202100011202100111
41112223000310300
510434223204034
6400142431104
751014532445
oct12653006460
93670152314
101454116144
116868a0a88
12346b92494
131a2348570
14db19b9cc
15879d4364
hex56ac0d30

1454116144 has 40 divisors (see below), whose sum is σ = 3138705360. Its totient is φ = 647985408.

The previous prime is 1454116129. The next prime is 1454116177. The reversal of 1454116144 is 4416114541.

It is a happy number.

It is a super-2 number, since 2×14541161442 = 4228907520482857472, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114502 + ... + 126565.

It is an arithmetic number, because the mean of its divisors is an integer number (78467634).

Almost surely, 21454116144 is an apocalyptic number.

It is an amenable number.

1454116144 is an abundant number, since it is smaller than the sum of its proper divisors (1684589216).

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

1454116144 is a wasteful number, since it uses less digits than its factorization.

1454116144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241117 (or 241111 counting only the distinct ones).

The product of its digits is 7680, while the sum is 31.

The square root of 1454116144 is about 38132.8748457286. The cubic root of 1454116144 is about 1132.9211870081.

The spelling of 1454116144 in words is "one billion, four hundred fifty-four million, one hundred sixteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 29 52 58 104 116 208 232 377 464 754 1508 3016 6032 241067 482134 964268 1928536 3133871 3857072 6267742 6990943 12535484 13981886 25070968 27963772 50141936 55927544 90882259 111855088 181764518 363529036 727058072 1454116144