Search a number
-
+
202402240442016 = 25317517492396587
BaseRepresentation
bin101110000001010101110001…
…101001001010111010100000
3222112122110120010211112012020
4232001111301221022322200
5203012124242023121031
61554250150003101440
760430036126211526
oct5601256151127240
9875573503745166
10202402240442016
11595453431287aa
121a84aab0971880
1388c25ac382a04
1437da46c040316
15185ee304c0096
hexb81571a4aea0

202402240442016 has 96 divisors (see below), whose sum is σ = 562570273944000. Its totient is φ = 63497488551936.

The previous prime is 202402240441991. The next prime is 202402240442111. The reversal of 202402240442016 is 610244042204202.

It is a tau number, because it is divible by the number of its divisors (96).

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, 83256075 + ... + 85652661.

It is an arithmetic number, because the mean of its divisors is an integer number (5860107020250).

Almost surely, 2202402240442016 is an apocalyptic number.

It is an amenable number.

202402240442016 is an abundant number, since it is smaller than the sum of its proper divisors (360168033501984).

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

202402240442016 is a wasteful number, since it uses less digits than its factorization.

202402240442016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2448366 (or 2448358 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 202402240442016 its reverse (610244042204202), we get a palindrome (812646282646218).

The spelling of 202402240442016 in words is "two hundred two trillion, four hundred two billion, two hundred forty million, four hundred forty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 51749 103498 155247 206996 310494 413992 620988 827984 879733 1241976 1655968 1759466 2396587 2483952 2639199 3518932 4793174 4967904 5278398 7037864 7189761 9586348 10556796 14075728 14379522 19172696 21113592 28151456 28759044 38345392 40741979 42227184 57518088 76690784 81483958 84454368 115036176 122225937 162967916 230072352 244451874 325935832 488903748 651871664 977807496 1303743328 1955614992 3911229984 124020980663 248041961326 372062941989 496083922652 744125883978 992167845304 1488251767956 1984335690608 2108356671271 2976503535912 3968671381216 4216713342542 5953007071824 6325070013813 8433426685084 11906014143648 12650140027626 16866853370168 25300280055252 33733706740336 50600560110504 67467413480672 101201120221008 202402240442016