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2432201402004 = 22311313148139749
BaseRepresentation
bin100011011001001010100…
…000000010011010010100
322121111221022000221011120
4203121022200002122110
5304322122024331004
65101200553003540
7340502134543413
oct43311240023224
98544838027146
102432201402004
11858544314110
123334633b35b0
1314848136a32a
1485a0d5c147a
15434018e73d9
hex2364a802694

2432201402004 has 96 divisors (see below), whose sum is σ = 6215187888000. Its totient is φ = 734161459200.

The previous prime is 2432201401997. The next prime is 2432201402017. The reversal of 2432201402004 is 4002041022342.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61169122 + ... + 61208870.

It is an arithmetic number, because the mean of its divisors is an integer number (64741540500).

Almost surely, 22432201402004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2432201402004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3107593944000).

2432201402004 is an abundant number, since it is smaller than the sum of its proper divisors (3782986485996).

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

2432201402004 is a wasteful number, since it uses less digits than its factorization.

2432201402004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41561 (or 41559 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 2432201402004 its reverse (4002041022342), we get a palindrome (6434242424346).

The spelling of 2432201402004 in words is "two trillion, four hundred thirty-two billion, two hundred one million, four hundred two thousand, four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 313 626 939 1252 1481 1878 2962 3443 3756 4443 5924 6886 8886 10329 13772 16291 17772 20658 32582 39749 41316 48873 65164 79498 97746 119247 158996 195492 238494 437239 463553 476988 874478 927106 1311717 1390659 1748956 1854212 2623434 2781318 5099083 5246868 5562636 10198166 12441437 15297249 20396332 24882874 30594498 37324311 49765748 58868269 61188996 74648622 117736538 136855807 149297244 176604807 235473076 273711614 353209614 410567421 547423228 647550959 706419228 821134842 1295101918 1642269684 1942652877 2590203836 3885305754 7770611508 18425768197 36851536394 55277304591 73703072788 110554609182 202683450167 221109218364 405366900334 608050350501 810733800668 1216100701002 2432201402004