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4104223432344 = 2333720531322179
BaseRepresentation
bin111011101110010110110…
…001111001111010011000
3112112100201101110122012000
4323232112301321322120
51014220422144313334
612421242035521000
7602343324365340
oct73562661717230
915470641418160
104104223432344
111342656148a22
12563514159160
1323a0465c9669
14102907275d20
1571b60da2299
hex3bb96c79e98

4104223432344 has 128 divisors (see below), whose sum is σ = 13035637056000. Its totient is φ = 1172063198592.

The previous prime is 4104223432313. The next prime is 4104223432363. The reversal of 4104223432344 is 4432343224014.

4104223432344 is a `hidden beast` number, since 4 + 10 + 42 + 234 + 32 + 344 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4104223432299 and 4104223432308.

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, 2443047 + ... + 3765225.

It is an arithmetic number, because the mean of its divisors is an integer number (101840914500).

Almost surely, 24104223432344 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 4104223432344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6517818528000).

4104223432344 is an abundant number, since it is smaller than the sum of its proper divisors (8931413623656).

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

4104223432344 is a wasteful number, since it uses less digits than its factorization.

4104223432344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324254 (or 1324244 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 4104223432344 its reverse (4432343224014), we get a palindrome (8536566656358).

The spelling of 4104223432344 in words is "four trillion, one hundred four billion, two hundred twenty-three million, four hundred thirty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 2053 4106 6159 8212 12318 14371 16424 18477 24636 28742 36954 43113 49272 55431 57484 73908 86226 110862 114968 129339 147816 172452 221724 258678 344904 388017 443448 517356 776034 1034712 1322179 1552068 2644358 3104136 3966537 5288716 7933074 9255253 10577432 11899611 15866148 18510506 23799222 27765759 31732296 35698833 37021012 47598444 55531518 71397666 74042024 83297277 95196888 111063036 142795332 166594554 222126072 249891831 285590664 333189108 499783662 666378216 999567324 1999134648 2714433487 5428866974 8143300461 10857733948 16286600922 19001034409 21715467896 24429901383 32573201844 38002068818 48859802766 57003103227 65146403688 73289704149 76004137636 97719605532 114006206454 146579408298 152008275272 171009309681 195439211064 228012412908 293158816596 342018619362 456024825816 513027929043 586317633192 684037238724 1026055858086 1368074477448 2052111716172 4104223432344