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104404220214 = 23789191257569
BaseRepresentation
bin110000100111011111…
…0011111100100110110
3100222111002221220120220
41201032332133210312
53202304440021324
6115543532435210
710354143141450
oct1411676374466
9328432856526
10104404220214
1140306507a18
1218298918b06
139acb0bc5c8
1450a5d572d0
152ab0c08b79
hex184ef9f936

104404220214 has 128 divisors (see below), whose sum is σ = 243954892800. Its totient is φ = 29174661120.

The previous prime is 104404220209. The next prime is 104404220243. The reversal of 104404220214 is 412022404401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 183486922 + ... + 183487490.

It is an arithmetic number, because the mean of its divisors is an integer number (1905897600).

Almost surely, 2104404220214 is an apocalyptic number.

104404220214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 104404220214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121977446400).

104404220214 is an abundant number, since it is smaller than the sum of its proper divisors (139550672586).

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

104404220214 is a wasteful number, since it uses less digits than its factorization.

104404220214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1118.

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 104404220214 its reverse (412022404401), we get a palindrome (516426624615).

The spelling of 104404220214 in words is "one hundred four billion, four hundred four million, two hundred twenty thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 89 178 191 257 267 382 514 534 569 573 623 771 1138 1146 1246 1337 1542 1707 1799 1869 2674 3414 3598 3738 3983 4011 5397 7966 8022 10794 11949 16999 22873 23898 33998 45746 49087 50641 50997 68619 98174 101282 101994 108679 118993 137238 146233 147261 151923 160111 217358 237986 292466 294522 303846 320222 326037 343609 354487 356979 438699 480333 652074 687218 708974 713958 760753 877398 960666 1023631 1030827 1063461 1521506 2047262 2061654 2126922 2282259 3070893 4368743 4564518 6141786 8737486 9672431 13014737 13106229 19344862 26029474 26212458 27930503 29017293 30581201 39044211 55861006 58034586 61162402 67707017 78088422 83791509 91103159 91743603 135414034 167583018 182206318 183487206 195513521 203121051 273309477 391027042 406242102 546618954 586540563 1173081126 2485814767 4971629534 7457444301 14914888602 17400703369 34801406738 52202110107 104404220214