Search a number
-
+
41232116600 = 23521946123537
BaseRepresentation
bin100110011001101000…
…000010101101111000
310221102112111112201122
4212121220002231320
51133420410212400
630535231204412
72656525131323
oct463150025570
9127375445648
1041232116600
1116539500524
127ba8676708
133b7141023c
141dd209b7ba
151114c68685
hex999a02b78

41232116600 has 96 divisors (see below), whose sum is σ = 101133370800. Its totient is φ = 15590246400.

The previous prime is 41232116593. The next prime is 41232116603. The reversal of 41232116600 is 661123214.

It is a self number, because there is not a number n which added to its sum of digits gives 41232116600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41232116603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1740032 + ... + 1763568.

Almost surely, 241232116600 is an apocalyptic number.

41232116600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41232116600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50566685400).

41232116600 is an abundant number, since it is smaller than the sum of its proper divisors (59901254200).

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

41232116600 is a wasteful number, since it uses less digits than its factorization.

41232116600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24033 (or 24024 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 41232116600 its reverse (661123214), we get a palindrome (41893239814).

The spelling of 41232116600 in words is "forty-one billion, two hundred thirty-two million, one hundred sixteen thousand, six hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 380 461 475 760 922 950 1844 1900 2305 3688 3800 4610 8759 9220 11525 17518 18440 23050 23537 35036 43795 46100 47074 70072 87590 92200 94148 117685 175180 188296 218975 235370 350360 437950 447203 470740 588425 875900 894406 941480 1176850 1751800 1788812 2236015 2353700 3577624 4472030 4707400 8944060 10850557 11180075 17888120 21701114 22360150 43402228 44720300 54252785 86804456 89440600 108505570 206160583 217011140 271263925 412321166 434022280 542527850 824642332 1030802915 1085055700 1649284664 2061605830 2170111400 4123211660 5154014575 8246423320 10308029150 20616058300 41232116600