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1004022244240 = 245137503182123
BaseRepresentation
bin11101001110001000110…
…00111010001110010000
310112222120000222121021221
432213010120322032100
5112422214143303430
62045124053054424
7132352415156431
oct16470430721620
93488500877257
101004022244240
11357892422594
12142705027414
13738a96a8012
143684870b488
151b1b493257a
hexe9c463a390

1004022244240 has 80 divisors (see below), whose sum is σ = 2356078451328. Its totient is φ = 397882661888.

The previous prime is 1004022244189. The next prime is 1004022244333. The reversal of 1004022244240 is 424422204001.

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

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, 5421819 + ... + 5603941.

Almost surely, 21004022244240 is an apocalyptic number.

1004022244240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1004022244240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1178039225664).

1004022244240 is an abundant number, since it is smaller than the sum of its proper divisors (1352056207088).

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

1004022244240 is a wasteful number, since it uses less digits than its factorization.

1004022244240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182776 (or 182770 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

Adding to 1004022244240 its reverse (424422204001), we get a palindrome (1428444448241).

The spelling of 1004022244240 in words is "one trillion, four billion, twenty-two million, two hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 137 274 503 548 685 1006 1096 1370 2012 2192 2515 2740 4024 5030 5480 8048 10060 10960 20120 40240 68911 137822 182123 275644 344555 364246 551288 689110 728492 910615 1102576 1378220 1456984 1821230 2756440 2913968 3642460 5512880 7284920 14569840 24950851 49901702 91607869 99803404 124754255 183215738 199606808 249508510 366431476 399213616 458039345 499017020 732862952 916078690 998034040 1465725904 1832157380 1996068080 3664314760 7328629520 12550278053 25100556106 50201112212 62751390265 100402224424 125502780530 200804448848 251005561060 502011122120 1004022244240