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41401322244 = 22323189523797
BaseRepresentation
bin100110100011101101…
…100000101100000100
310221212022220002020100
4212203231200230010
51134242214302434
631004114004100
72663651301252
oct464355405404
9127768802210
1041401322244
1116615a701a7
128035276630
133b9a4a4b19
14200a7455d2
151124a3d699
hex9a3b60b04

41401322244 has 144 divisors (see below), whose sum is σ = 109589276160. Its totient is φ = 13163420160.

The previous prime is 41401322243. The next prime is 41401322251. The reversal of 41401322244 is 44222310414.

41401322244 is a `hidden beast` number, since 4 + 1 + 401 + 32 + 224 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (41401322243) 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, 51946054 + ... + 51946850.

It is an arithmetic number, because the mean of its divisors is an integer number (761036640).

Almost surely, 241401322244 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 41401322244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54794638080).

41401322244 is an abundant number, since it is smaller than the sum of its proper divisors (68187953916).

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

41401322244 is a wasteful number, since it uses less digits than its factorization.

41401322244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1450 (or 1445 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 41401322244 its reverse (44222310414), we get a palindrome (85623632658).

The spelling of 41401322244 in words is "forty-one billion, four hundred one million, three hundred twenty-two thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 89 93 124 178 186 267 279 356 372 523 534 558 797 801 1046 1068 1116 1569 1594 1602 2092 2391 2759 3138 3188 3204 4707 4782 5518 6276 7173 8277 9414 9564 11036 14346 16213 16554 18828 24707 24831 28692 32426 33108 46547 48639 49414 49662 64852 70933 74121 93094 97278 98828 99324 139641 141866 145917 148242 186188 194556 212799 222363 279282 283732 291834 296484 416831 418923 425598 444726 558564 583668 638397 833662 837846 851196 889452 1250493 1276794 1442957 1667324 1675692 2198923 2500986 2553588 2885914 3751479 4328871 4397846 5001972 5771828 6596769 7502958 8657742 8795692 12921761 12986613 13193538 15005916 17315484 19790307 25843522 25973226 26387076 37097959 38765283 39580614 51687044 51946452 74195918 77530566 79161228 111293877 116295849 148391836 155061132 222587754 232591698 333881631 445175508 465183396 667763262 1150036729 1335526524 2300073458 3450110187 4600146916 6900220374 10350330561 13800440748 20700661122 41401322244