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41131723400 = 23522337241667
BaseRepresentation
bin100110010011101001…
…000100101010001000
310221011112121001010222
4212103221010222020
51133214210122100
630521243325212
72654165610635
oct462351045210
9127145531128
1041131723400
1116497870639
127b7ab20808
133b5668c791
141dc2a0718c
15110b037485
hex993a44a88

41131723400 has 96 divisors (see below), whose sum is σ = 102486565440. Its totient is φ = 15311957760.

The previous prime is 41131723319. The next prime is 41131723403. The reversal of 41131723400 is 432713114.

It is a self number, because there is not a number n which added to its sum of digits gives 41131723400.

It is not an unprimeable number, because it can be changed into a prime (41131723403) 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, 49367 + ... + 291033.

It is an arithmetic number, because the mean of its divisors is an integer number (1067568390).

Almost surely, 241131723400 is an apocalyptic number.

41131723400 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 41131723400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51243282720).

41131723400 is an abundant number, since it is smaller than the sum of its proper divisors (61354842040).

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

41131723400 is a wasteful number, since it uses less digits than its factorization.

41131723400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241743 (or 241734 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The spelling of 41131723400 in words is "forty-one billion, one hundred thirty-one million, seven hundred twenty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 23 25 37 40 46 50 74 92 100 115 148 184 185 200 230 296 370 460 575 740 851 920 925 1150 1480 1702 1850 2300 3404 3700 4255 4600 6808 7400 8510 17020 21275 34040 42550 85100 170200 241667 483334 966668 1208335 1933336 2416670 4833340 5558341 6041675 8941679 9666680 11116682 12083350 17883358 22233364 24166700 27791705 35766716 44466728 44708395 48333400 55583410 71533432 89416790 111166820 138958525 178833580 205658617 222333640 223541975 277917050 357667160 411317234 447083950 555834100 822634468 894167900 1028293085 1111668200 1645268936 1788335800 2056586170 4113172340 5141465425 8226344680 10282930850 20565861700 41131723400