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421153254231440 = 24545131166500261
BaseRepresentation
bin101111111000010010110001…
…0000111010100110110010000
32001020011212011102000122110112
41133300211202013110312100
5420200133331040401230
64051415044541420452
7154465214151124613
oct13760454207246620
92036155142018415
10421153254231440
11112213101630a45
123b29a3a486a728
13150cc7736256b3
1475ddcd796417a
1533a5268d6bd95
hex17f09621d4d90

421153254231440 has 40 divisors (see below), whose sum is σ = 979398285976248. Its totient is φ = 168423973539840.

The previous prime is 421153254231383. The next prime is 421153254231497. The reversal of 421153254231440 is 44132452351124.

It is an interprime number because it is at equal distance from previous prime (421153254231383) and next prime (421153254231497).

It can be written as a sum of positive squares in 4 ways, for example, as 3669630634384 + 417483623597056 = 1915628^2 + 20432416^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 582889091 + ... + 583611170.

Almost surely, 2421153254231440 is an apocalyptic number.

421153254231440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

421153254231440 is an abundant number, since it is smaller than the sum of its proper divisors (558245031744808).

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

421153254231440 is a wasteful number, since it uses less digits than its factorization.

421153254231440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166504787 (or 1166504781 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 41.

The spelling of 421153254231440 in words is "four hundred twenty-one trillion, one hundred fifty-three billion, two hundred fifty-four million, two hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 4513 9026 18052 22565 36104 45130 72208 90260 180520 361040 1166500261 2333000522 4666001044 5832501305 9332002088 11665002610 18664004176 23330005220 46660010440 93320020880 5264415677893 10528831355786 21057662711572 26322078389465 42115325423144 52644156778930 84230650846288 105288313557860 210576627115720 421153254231440