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1454445412434 = 2327711453111893
BaseRepresentation
bin10101001010100011101…
…100111100000001010010
312011001011210122022112200
4111022203230330001102
5142312201011144214
63032055112504030
7210036341010630
oct25124354740122
95131153568480
101454445412434
11510910577513
121b5a6a9ab016
13a71cc649b51
14505774b6350
1527c77e0dd09
hex152a3b3c052

1454445412434 has 96 divisors (see below), whose sum is σ = 3654755230464. Its totient is φ = 409417303680.

The previous prime is 1454445412429. The next prime is 1454445412493. The reversal of 1454445412434 is 4342145444541.

1454445412434 is a `hidden beast` number, since 1 + 4 + 5 + 44 + 454 + 124 + 34 = 666.

It is a super-2 number, since 2×14544454124342 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1454445412434.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12942592 + ... + 13054484.

It is an arithmetic number, because the mean of its divisors is an integer number (38070366984).

Almost surely, 21454445412434 is an apocalyptic number.

1454445412434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1454445412434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1827377615232).

1454445412434 is an abundant number, since it is smaller than the sum of its proper divisors (2200309818030).

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

1454445412434 is a wasteful number, since it uses less digits than its factorization.

1454445412434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113432 (or 113429 counting only the distinct ones).

The product of its digits is 2457600, while the sum is 45.

The spelling of 1454445412434 in words is "one trillion, four hundred fifty-four billion, four hundred forty-five million, four hundred twelve thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 71 126 142 213 426 497 639 994 1278 1453 1491 2906 2982 4359 4473 8718 8946 10171 13077 20342 26154 30513 61026 91539 103163 111893 183078 206326 223786 309489 335679 618978 671358 722141 783251 928467 1007037 1444282 1566502 1856934 2014074 2166423 2349753 4332846 4699506 6499269 7049259 7944403 12998538 14098518 15888806 23833209 47666418 55610821 71499627 111221642 142999254 162580529 166832463 325161058 333664926 487741587 500497389 975483174 1000994778 1138063703 1463224761 2276127406 2926449522 3414191109 6828382218 10242573327 11543217559 20485146654 23086435118 34629652677 69259305354 80802522913 103888958031 161605045826 207777916062 242407568739 484815137478 727222706217 1454445412434