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41551104114 = 235138777499
BaseRepresentation
bin100110101100101000…
…111000100001110010
310222020202201210100000
4212230220320201302
51140044040312424
631031024210430
73000450362142
oct465450704162
9128222653300
1041551104114
1116692573573
128077469a16
133bc2528650
1420225b4922
151132c783c9
hex9aca38872

41551104114 has 96 divisors (see below), whose sum is σ = 100671480000. Its totient is φ = 12768674112.

The previous prime is 41551104113. The next prime is 41551104137. The reversal of 41551104114 is 41140115514.

It is a happy number.

41551104114 is a `hidden beast` number, since 4 + 1 + 551 + 104 + 1 + 1 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (41551104113) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5537137 + ... + 5544635.

It is an arithmetic number, because the mean of its divisors is an integer number (1048661250).

Almost surely, 241551104114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41551104114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50335740000).

41551104114 is an abundant number, since it is smaller than the sum of its proper divisors (59120375886).

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

41551104114 is a wasteful number, since it uses less digits than its factorization.

41551104114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8406 (or 8394 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

Adding to 41551104114 its reverse (41140115514), we get a palindrome (82691219628).

The spelling of 41551104114 in words is "forty-one billion, five hundred fifty-one million, one hundred four thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 243 351 486 702 877 1053 1754 2106 2631 3159 5262 6318 7499 7893 11401 14998 15786 22497 22802 23679 34203 44994 47358 67491 68406 71037 97487 102609 134982 142074 194974 202473 205218 213111 292461 307827 404946 426222 584922 607419 615654 877383 923481 1214838 1754766 1822257 1846962 2632149 2770443 3644514 5264298 5540886 6576623 7896447 13153246 15792894 19729869 23689341 39459738 47378682 59189607 85496099 118379214 170992198 177568821 256488297 355137642 512976594 532706463 769464891 1065412926 1538929782 1598119389 2308394673 3196238778 4616789346 6925184019 13850368038 20775552057 41551104114