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41403114100 = 22521783293431
BaseRepresentation
bin100110100011110100…
…010110001001110100
310221212110021010012101
4212203310112021310
51134243144122400
631004220231444
72664002443315
oct464364261164
9127773233171
1041403114100
1116616a84477
12803599b584
133b9a9815aa
14200aa9060c
151124c9456a
hex9a3d16274

41403114100 has 72 divisors (see below), whose sum is σ = 96276212928. Its totient is φ = 15399206400.

The previous prime is 41403114079. The next prime is 41403114127. The reversal of 41403114100 is 141130414.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5616 + ... + 287815.

It is an arithmetic number, because the mean of its divisors is an integer number (1337169624).

Almost surely, 241403114100 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 41403114100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48138106464).

41403114100 is an abundant number, since it is smaller than the sum of its proper divisors (54873098828).

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

41403114100 is a wasteful number, since it uses less digits than its factorization.

41403114100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293545 (or 293538 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 41403114100 its reverse (141130414), we get a palindrome (41544244514).

The spelling of 41403114100 in words is "forty-one billion, four hundred three million, one hundred fourteen thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 83 85 100 166 170 332 340 415 425 830 850 1411 1660 1700 2075 2822 4150 5644 7055 8300 14110 28220 35275 70550 141100 293431 586862 1173724 1467155 2934310 4988327 5868620 7335775 9976654 14671550 19953308 24354773 24941635 29343100 48709546 49883270 97419092 99766540 121773865 124708175 243547730 249416350 414031141 487095460 498832700 608869325 828062282 1217738650 1656124564 2070155705 2435477300 4140311410 8280622820 10350778525 20701557050 41403114100