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1004421214320 = 243528114893553
BaseRepresentation
bin11101001110111000010…
…10110111000001110000
310120000120211201101100120
432213130022313001300
5112424023312324240
62045231424250240
7132365331311466
oct16473412670160
93500524641316
101004421214320
11357a77654727
121427b6770980
13739412488a4
14368856c4836
151b1d9990ad0
hexe9dc2b7070

1004421214320 has 80 divisors (see below), whose sum is σ = 3124786777632. Its totient is φ = 266892451840.

The previous prime is 1004421214319. The next prime is 1004421214333. The reversal of 1004421214320 is 234121244001.

1004421214320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7379337 + ... + 7514216.

Almost surely, 21004421214320 is an apocalyptic number.

1004421214320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1004421214320 is an abundant number, since it is smaller than the sum of its proper divisors (2120365563312).

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

1004421214320 is a wasteful number, since it uses less digits than its factorization.

1004421214320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14893850 (or 14893844 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 1004421214320 its reverse (234121244001), we get a palindrome (1238542458321).

The spelling of 1004421214320 in words is "one trillion, four billion, four hundred twenty-one million, two hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 281 562 843 1124 1405 1686 2248 2810 3372 4215 4496 5620 6744 8430 11240 13488 16860 22480 33720 67440 14893553 29787106 44680659 59574212 74467765 89361318 119148424 148935530 178722636 223403295 238296848 297871060 357445272 446806590 595742120 714890544 893613180 1191484240 1787226360 3574452720 4185088393 8370176786 12555265179 16740353572 20925441965 25110530358 33480707144 41850883930 50221060716 62776325895 66961414288 83701767860 100442121432 125552651790 167403535720 200884242864 251105303580 334807071440 502210607160 1004421214320