Search a number
-
+
41210122096 = 241113107168331
BaseRepresentation
bin100110011000010100…
…001000111101110000
310221101000010002221101
4212120110020331300
51133344242401341
630533123534144
72656140154363
oct463024107560
9127330102841
1041210122096
1116528048750
127ba122a354
133b699ac040
141dcd1b40da
151112d71831
hex998508f70

41210122096 has 80 divisors (see below), whose sum is σ = 94680690048. Its totient is φ = 17129260800.

The previous prime is 41210122061. The next prime is 41210122103. The reversal of 41210122096 is 69022101214.

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, 160651 + ... + 328981.

Almost surely, 241210122096 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 41210122096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47340345024).

41210122096 is an abundant number, since it is smaller than the sum of its proper divisors (53470567952).

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

41210122096 is a wasteful number, since it uses less digits than its factorization.

41210122096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168470 (or 168464 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

It can be divided in two parts, 41210 and 122096, that added together give a triangular number (163306 = T571).

The spelling of 41210122096 in words is "forty-one billion, two hundred ten million, one hundred twenty-two thousand, ninety-six".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 107 143 176 208 214 286 428 572 856 1144 1177 1391 1712 2288 2354 2782 4708 5564 9416 11128 15301 18832 22256 30602 61204 122408 168331 244816 336662 673324 1346648 1851641 2188303 2693296 3703282 4376606 7406564 8753212 14813128 17506424 18011417 24071333 29626256 35012848 36022834 48142666 72045668 96285332 144091336 192570664 198125587 234148421 288182672 385141328 396251174 468296842 792502348 936593684 1585004696 1873187368 2575632631 3170009392 3746374736 5151265262 10302530524 20605061048 41210122096