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451143132074140 = 225118362873929797
BaseRepresentation
bin110011010010011111111001…
…0001000010101000010011100
32012011100212021120002112111211
41212210333302020111002130
5433113012113302333030
64235300143235554204
7164012005243564342
oct14644776210250234
92164325246075454
10451143132074140
11120825800862440
124272268a15b964
13164967cb97664c
147d5963086d992
1537254051a812a
hex19a4ff221509c

451143132074140 has 96 divisors (see below), whose sum is σ = 1046146684068864. Its totient is φ = 162049696623360.

The previous prime is 451143132074123. The next prime is 451143132074191. The reversal of 451143132074140 is 41470231341154.

It is a junction number, because it is equal to n+sod(n) for n = 451143132074093 and 451143132074102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112835722 + ... + 116765518.

It is an arithmetic number, because the mean of its divisors is an integer number (10897361292384).

Almost surely, 2451143132074140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 451143132074140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523073342034432).

451143132074140 is an abundant number, since it is smaller than the sum of its proper divisors (595003551994724).

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

451143132074140 is a wasteful number, since it uses less digits than its factorization.

451143132074140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3936187 (or 3936185 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The spelling of 451143132074140 in words is "four hundred fifty-one trillion, one hundred forty-three billion, one hundred thirty-two million, seventy-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 83 110 166 220 332 415 830 913 1660 1826 3652 4565 6287 9130 12574 18260 25148 31435 62870 69157 125740 138314 276628 345785 521821 691570 1043642 1383140 2087284 2609105 3929797 5218210 5740031 7859594 10436420 11480062 15719188 19648985 22960124 28700155 39297970 43227767 57400310 78595940 86455534 114800620 172911068 216138835 326173151 432277670 652346302 864555340 1304692604 1630865755 3261731510 3587904661 6523463020 7175809322 14351618644 17939523305 24706633739 35879046610 49413267478 71758093220 98826534956 123533168695 247066337390 271772971129 494132674780 543545942258 1087091884516 1358864855645 2050650600337 2717729711290 4101301200674 5435459422580 8202602401348 10253253001685 20506506003370 22557156603707 41013012006740 45114313207414 90228626414828 112785783018535 225571566037070 451143132074140