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34114442061250 = 254112332597457
BaseRepresentation
bin1111100000110111000110…
…01100110110010111000010
311110210022100010022112021101
413300123203030312113002
513432412334131430000
6200315542555445014
710120454451022555
oct760334314662702
9143708303275241
1034114442061250
11a962943200131
1239ab73575676a
131605c93b03695
1485d20d81669c
153e25dcd22e6a
hex1f06e33365c2

34114442061250 has 80 divisors (see below), whose sum is σ = 64029274198560. Its totient is φ = 13627614528000.

The previous prime is 34114442061241. The next prime is 34114442061289. The reversal of 34114442061250 is 5216024441143.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4574817522 + ... + 4574824978.

It is an arithmetic number, because the mean of its divisors is an integer number (800365927482).

Almost surely, 234114442061250 is an apocalyptic number.

34114442061250 is a deficient number, since it is larger than the sum of its proper divisors (29914832137310).

34114442061250 is a wasteful number, since it uses less digits than its factorization.

34114442061250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11861 (or 11846 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 37.

The spelling of 34114442061250 in words is "thirty-four trillion, one hundred fourteen billion, four hundred forty-two million, sixty-one thousand, two hundred fifty".

Divisors: 1 2 5 10 25 50 125 250 625 1123 1250 2246 3259 5615 6518 7457 11230 14914 16295 28075 32590 37285 56150 74570 81475 140375 162950 186425 280750 372850 407375 701875 814750 932125 1403750 1864250 2036875 3659857 4073750 4660625 7319714 8374211 9321250 16748422 18299285 24302363 36598570 41871055 48604726 83742110 91496425 121511815 182992850 209355275 243023630 418710550 457482125 607559075 914964250 1046776375 1215118150 2093552750 2287410625 3037795375 4574821250 5233881875 6075590750 10467763750 15188976875 27291553649 30377953750 54583107298 136457768245 272915536490 682288841225 1364577682450 3411444206125 6822888412250 17057221030625 34114442061250