Search a number
-
+
454351121153454 = 23711119972918773
BaseRepresentation
bin110011101001110101101110…
…1001011011111110110101110
32012120201112122211111202222210
41213103223131023133312232
5434023042044003402304
64250154005031151250
7164462533224053040
oct14723533513376656
92176645584452883
10454351121153454
11121852256a888a8
1242b6035b215526
131666a1859b3b85
14802a9d68aba90
15377daae410c89
hex19d3add2dfdae

454351121153454 has 32 divisors (see below), whose sum is σ = 1038610249620480. Its totient is φ = 129802930885152.

The previous prime is 454351121153453. The next prime is 454351121153473.

It is a happy number.

454351121153454 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4543511211534542 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (454351121153453) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 485992389 + ... + 486926384.

It is an arithmetic number, because the mean of its divisors is an integer number (32456570300640).

Almost surely, 2454351121153454 is an apocalyptic number.

454351121153454 is an abundant number, since it is smaller than the sum of its proper divisors (584259128467026).

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

454351121153454 is a wasteful number, since it uses less digits than its factorization.

454351121153454 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972929904.

The product of its digits is 2880000, while the sum is 48.

The spelling of 454351121153454 in words is "four hundred fifty-four trillion, three hundred fifty-one billion, one hundred twenty-one million, one hundred fifty-three thousand, four hundred fifty-four".

Divisors: 1 2 3 6 7 14 21 42 11119 22238 33357 66714 77833 155666 233499 466998 972918773 1945837546 2918756319 5837512638 6810431411 13620862822 20431294233 40862588466 10817883836987 21635767673974 32453651510961 64907303021922 75725186858909 151450373717818 227175560576727 454351121153454