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1454002361040 = 243513744221483
BaseRepresentation
bin10101001010001001010…
…010110101001011010000
312011000000220221222021210
4111022021102311023100
5142310244101023130
63031543124420120
7210022351101615
oct25121122651320
95130026858253
101454002361040
11510703477439
121b5966547640
13a715b913b68
145053470650c
1527c4e0945b0
hex152894b52d0

1454002361040 has 80 divisors (see below), whose sum is σ = 4540308205248. Its totient is φ = 384903779328.

The previous prime is 1454002360997. The next prime is 1454002361041. The reversal of 1454002361040 is 401632004541.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×14540023610402 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1454002360989 and 1454002361007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1454002361041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22077862 + ... + 22143621.

Almost surely, 21454002361040 is an apocalyptic number.

1454002361040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1454002361040 is an abundant number, since it is smaller than the sum of its proper divisors (3086305844208).

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

1454002361040 is a wasteful number, since it uses less digits than its factorization.

1454002361040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44221636 (or 44221630 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 1454002361040 its reverse (401632004541), we get a palindrome (1855634365581).

The spelling of 1454002361040 in words is "one trillion, four hundred fifty-four billion, two million, three hundred sixty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 137 240 274 411 548 685 822 1096 1370 1644 2055 2192 2740 3288 4110 5480 6576 8220 10960 16440 32880 44221483 88442966 132664449 176885932 221107415 265328898 353771864 442214830 530657796 663322245 707543728 884429660 1061315592 1326644490 1768859320 2122631184 2653288980 3537718640 5306577960 6058343171 10613155920 12116686342 18175029513 24233372684 30291715855 36350059026 48466745368 60583431710 72700118052 90875147565 96933490736 121166863420 145400236104 181750295130 242333726840 290800472208 363500590260 484667453680 727001180520 1454002361040