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41744060124 = 223131947299653
BaseRepresentation
bin100110111000001000…
…111100111011011100
310222202012210222012220
4212320020330323130
51140442434410444
631102120025340
73005312441124
oct467010747334
9128665728186
1041744060124
1116781485248
128110002250
133c234b76c0
142040081c84
151144b90619
hex9b823cedc

41744060124 has 96 divisors (see below), whose sum is σ = 112765793280. Its totient is φ = 11909369088.

The previous prime is 41744060053. The next prime is 41744060147. The reversal of 41744060124 is 42106044714.

It is a super-2 number, since 2×417440601242 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10519 + ... + 289134.

It is an arithmetic number, because the mean of its divisors is an integer number (1174643680).

Almost surely, 241744060124 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 41744060124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56382896640).

41744060124 is an abundant number, since it is smaller than the sum of its proper divisors (71021733156).

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

41744060124 is a wasteful number, since it uses less digits than its factorization.

41744060124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299739 (or 299737 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The spelling of 41744060124 in words is "forty-one billion, seven hundred forty-four million, sixty thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 47 52 57 76 78 94 114 141 156 188 228 247 282 494 564 611 741 893 988 1222 1482 1786 1833 2444 2679 2964 3572 3666 5358 7332 10716 11609 23218 34827 46436 69654 139308 299653 599306 898959 1198612 1797918 3595836 3895489 5693407 7790978 11386814 11686467 14083691 15581956 17080221 22773628 23372934 28167382 34160442 42251073 46745868 56334764 68320884 74014291 84502146 148028582 169004292 183087983 222042873 267590129 296057164 366175966 444085746 535180258 549263949 732351932 802770387 888171492 1070360516 1098527898 1605540774 2197055796 3211081548 3478671677 6957343354 10436015031 13914686708 20872030062 41744060124