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41401441100 = 225229137104207
BaseRepresentation
bin100110100011101101…
…111101101101001100
310221212100010010021102
4212203231331231030
51134242232103400
631004120322232
72663652304625
oct464355755514
9127770103242
1041401441100
1116616041528
128035313378
133b9a516c56
14200a776a4c
151124a639d5
hex9a3b7db4c

41401441100 has 72 divisors (see below), whose sum is σ = 93618383040. Its totient is φ = 15872657920.

The previous prime is 41401441099. The next prime is 41401441177. The reversal of 41401441100 is 114410414.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 345197 + ... + 449403.

It is an arithmetic number, because the mean of its divisors is an integer number (1300255320).

Almost surely, 241401441100 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 41401441100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46809191520).

41401441100 is an abundant number, since it is smaller than the sum of its proper divisors (52216941940).

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

41401441100 is a wasteful number, since it uses less digits than its factorization.

41401441100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104387 (or 104380 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 41401441100 its reverse (114410414), we get a palindrome (41515851514).

The spelling of 41401441100 in words is "forty-one billion, four hundred one million, four hundred forty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 137 145 274 290 548 580 685 725 1370 1450 2740 2900 3425 3973 6850 7946 13700 15892 19865 39730 79460 99325 104207 198650 208414 397300 416828 521035 1042070 2084140 2605175 3022003 5210350 6044006 10420700 12088012 14276359 15110015 28552718 30220030 57105436 60440060 71381795 75550075 142763590 151100150 285527180 302200300 356908975 414014411 713817950 828028822 1427635900 1656057644 2070072055 4140144110 8280288220 10350360275 20700720550 41401441100