Search a number
-
+
41315353700 = 22521949943577
BaseRepresentation
bin100110011110100101…
…100100010001100100
310221122100010102120012
4212132211210101210
51134103212304300
630551403225352
72661555466145
oct463645442144
9127570112505
1041315353700
1116581492815
128010518258
133b85734b6a
141ddd167acc
15111c20b435
hex99e964464

41315353700 has 72 divisors (see below), whose sum is σ = 94564260000. Its totient is φ = 15624610560.

The previous prime is 41315353693. The next prime is 41315353769. The reversal of 41315353700 is 735351314.

It is a super-2 number, since 2×413153537002 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 926312 + ... + 969888.

It is an arithmetic number, because the mean of its divisors is an integer number (1313392500).

Almost surely, 241315353700 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 41315353700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47282130000).

41315353700 is an abundant number, since it is smaller than the sum of its proper divisors (53248906300).

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

41315353700 is a wasteful number, since it uses less digits than its factorization.

41315353700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44109 (or 44102 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 32.

The spelling of 41315353700 in words is "forty-one billion, three hundred fifteen million, three hundred fifty-three thousand, seven hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 475 499 950 998 1900 1996 2495 4990 9481 9980 12475 18962 24950 37924 43577 47405 49900 87154 94810 174308 189620 217885 237025 435770 474050 827963 871540 948100 1089425 1655926 2178850 3311852 4139815 4357700 8279630 16559260 20699075 21744923 41398150 43489846 82796300 86979692 108724615 217449230 413153537 434898460 543623075 826307074 1087246150 1652614148 2065767685 2174492300 4131535370 8263070740 10328838425 20657676850 41315353700