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42204040440216 = 23310744337098409
BaseRepresentation
bin10011001100010011001001…
…10101101010100110011000
312112102200000010212011202220
421212021210311222212120
521012432333323041331
6225432134000024040
711614066315502634
oct1146114465524630
9175380003764686
1042204040440216
11124a16a6631646
124897513902020
131a71a9325b715
14a5c9878c9dc4
154d2c55c31296
hex266264d6a998

42204040440216 has 64 divisors (see below), whose sum is σ = 106736577379200. Its totient is φ = 13905076892928.

The previous prime is 42204040440151. The next prime is 42204040440223. The reversal of 42204040440216 is 61204404040224.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17411581 + ... + 19686828.

It is an arithmetic number, because the mean of its divisors is an integer number (1667759021550).

Almost surely, 242204040440216 is an apocalyptic number.

It is an amenable number.

42204040440216 is an abundant number, since it is smaller than the sum of its proper divisors (64532536938984).

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

42204040440216 is a wasteful number, since it uses less digits than its factorization.

42204040440216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37098968 (or 37098964 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

The spelling of 42204040440216 in words is "forty-two trillion, two hundred four billion, forty million, four hundred forty thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 107 214 321 428 443 642 856 886 1284 1329 1772 2568 2658 3544 5316 10632 47401 94802 142203 189604 284406 379208 568812 1137624 37098409 74196818 111295227 148393636 222590454 296787272 445180908 890361816 3969529763 7939059526 11908589289 15878119052 16434595187 23817178578 31756238104 32869190374 47634357156 49303785561 65738380748 95268714312 98607571122 131476761496 197215142244 394430284488 1758501685009 3517003370018 5275505055027 7034006740036 10551010110054 14068013480072 21102020220108 42204040440216