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114204150004 = 22747541160409
BaseRepresentation
bin110101001011100011…
…0010000100011110100
3101220210002020220222111
41222113012100203310
53332342230300004
6124244211140404
711152041154360
oct1522706204364
9356702226874
10114204150004
11444852a124a
121a1728a4704
13aa004c9829
1457556ba2a0
152e86246a04
hex1a971908f4

114204150004 has 48 divisors (see below), whose sum is σ = 233700687360. Its totient is φ = 47814416640.

The previous prime is 114204149989. The next prime is 114204150107. The reversal of 114204150004 is 400051402411.

It is a super-2 number, since 2×1142041500042 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 631752 + ... + 792160.

It is an arithmetic number, because the mean of its divisors is an integer number (4868764320).

Almost surely, 2114204150004 is an apocalyptic number.

114204150004 is a gapful number since it is divisible by the number (14) 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 114204150004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116850343680).

114204150004 is an abundant number, since it is smaller than the sum of its proper divisors (119496537356).

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

114204150004 is a wasteful number, since it uses less digits than its factorization.

114204150004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161008 (or 161006 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

Adding to 114204150004 its reverse (400051402411), we get a palindrome (514255552415).

The spelling of 114204150004 in words is "one hundred fourteen billion, two hundred four million, one hundred fifty thousand, four".

Divisors: 1 2 4 7 14 28 47 94 188 329 541 658 1082 1316 2164 3787 7574 15148 25427 50854 101708 160409 177989 320818 355978 641636 711956 1122863 2245726 4491452 7539223 15078446 30156892 52774561 86781269 105549122 173562538 211098244 347125076 607468883 1214937766 2429875532 4078719643 8157439286 16314878572 28551037501 57102075002 114204150004