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1356024414 = 231721979521
BaseRepresentation
bin101000011010011…
…0100101001011110
310111111121011210110
41100310310221132
510234120240124
6342320150450
745414005643
oct12064645136
93444534713
101356024414
11636493238
1231a168426
13187c22514
14cc145dca
157e0aa029
hex50d34a5e

1356024414 has 96 divisors (see below), whose sum is σ = 3076876800. Its totient is φ = 397163520.

The previous prime is 1356024403. The next prime is 1356024491. The reversal of 1356024414 is 4144206531.

It is a super-2 number, since 2×13560244142 = 3677604422728086792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2602474 + ... + 2602994.

It is an arithmetic number, because the mean of its divisors is an integer number (32050800).

Almost surely, 21356024414 is an apocalyptic number.

1356024414 is an abundant number, since it is smaller than the sum of its proper divisors (1720852386).

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

1356024414 is a wasteful number, since it uses less digits than its factorization.

1356024414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 641 counting only the distinct ones).

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

The square root of 1356024414 is about 36824.2367741682. The cubic root of 1356024414 is about 1106.8510198557.

The spelling of 1356024414 in words is "one billion, three hundred fifty-six million, twenty-four thousand, four hundred fourteen".

Divisors: 1 2 3 6 17 19 34 38 51 57 79 102 114 158 237 289 323 474 521 578 646 867 969 1042 1343 1501 1563 1734 1938 2686 3002 3126 4029 4503 5491 8058 8857 9006 9899 10982 16473 17714 19798 22831 25517 26571 29697 32946 41159 45662 51034 53142 59394 68493 76551 82318 123477 136986 150569 153102 168283 246954 301138 336566 433789 451707 504849 699703 782021 867578 903414 1009698 1301367 1399406 1564042 2099109 2346063 2602734 2860811 4198218 4692126 5721622 8582433 11894951 13294357 17164866 23789902 26588714 35684853 39883071 71369706 79766142 226004069 452008138 678012207 1356024414