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214100441044 = 227223137334591
BaseRepresentation
bin1100011101100101100…
…0010111011111010100
3202110122000202022021121
43013121120113133110
512001434203103134
6242204551253324
721316415502400
oct3073130273724
9673560668247
10214100441044
1182888132266
12355b197a244
1317260697509
14a510a62100
1558812e7ab4
hex31d96177d4

214100441044 has 72 divisors (see below), whose sum is σ = 455141611008. Its totient is φ = 87701423040.

The previous prime is 214100441033. The next prime is 214100441053. The reversal of 214100441044 is 440144001412.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6172189 + ... + 6206779.

It is an arithmetic number, because the mean of its divisors is an integer number (6321411264).

Almost surely, 2214100441044 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 214100441044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227570805504).

214100441044 is an abundant number, since it is smaller than the sum of its proper divisors (241041169964).

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

214100441044 is a wasteful number, since it uses less digits than its factorization.

214100441044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36005 (or 35996 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 214100441044 its reverse (440144001412), we get a palindrome (654244442456).

The spelling of 214100441044 in words is "two hundred fourteen billion, one hundred million, four hundred forty-one thousand, forty-four".

Divisors: 1 2 4 7 14 23 28 46 49 92 98 161 196 322 644 1127 1373 2254 2746 4508 5492 9611 19222 31579 34591 38444 63158 67277 69182 126316 134554 138364 221053 242137 269108 442106 484274 795593 884212 968548 1547371 1591186 1694959 3094742 3182372 3389918 5569151 6189484 6779836 11138302 22276604 38984057 47493443 77968114 94986886 155936228 189973772 332454101 664908202 1092349189 1329816404 2184698378 2327178707 4369396756 4654357414 7646444323 9308714828 15292888646 30585777292 53525110261 107050220522 214100441044