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41220233113320 = 23325158573722069
BaseRepresentation
bin10010101111101010101010…
…10110100010111011101000
312101221121121220210202220100
421113311111112202323220
520400323014134111240
6223400151430425400
711453030542264242
oct1127652526427350
9171847556722810
1041220233113320
1112152447a8a718
124758910802260
131a00088939471
14a270d9c4b092
154b7375d6de30
hex257d555a2ee8

41220233113320 has 96 divisors (see below), whose sum is σ = 133966787970600. Its totient is φ = 10991977622016.

The previous prime is 41220233113303. The next prime is 41220233113337. The reversal of 41220233113320 is 2331133202214.

41220233113320 is a `hidden beast` number, since 4 + 1 + 2 + 2 + 0 + 2 + 331 + 1 + 3 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (41220233113303) and next prime (41220233113337).

It can be written as a sum of positive squares in 4 ways, for example, as 40900910925924 + 319322187396 = 6395382^2 + 565086^2 .

It is a super-2 number, since 2×412202331133202 (a number of 28 digits) contains 22 as substring.

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, 56725246 + ... + 57447314.

Almost surely, 241220233113320 is an apocalyptic number.

41220233113320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41220233113320 is an abundant number, since it is smaller than the sum of its proper divisors (92746554857280).

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

41220233113320 is a wasteful number, since it uses less digits than its factorization.

41220233113320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880659 (or 880652 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 41220233113320 its reverse (2331133202214), we get a palindrome (43551366315534).

The spelling of 41220233113320 in words is "forty-one trillion, two hundred twenty billion, two hundred thirty-three million, one hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 158573 317146 475719 634292 722069 792865 951438 1268584 1427157 1444138 1585730 1902876 2166207 2378595 2854314 2888276 3171460 3610345 3805752 4332414 4757190 5708628 5776552 6342920 6498621 7135785 7220690 8664828 9514380 10831035 11417256 12997242 14271570 14441380 17329656 19028760 21662070 25994484 28543140 28882760 32493105 43324140 51988968 57086280 64986210 86648280 129972420 259944840 114500647537 229001295074 343501942611 458002590148 572503237685 687003885222 916005180296 1030505827833 1145006475370 1374007770444 1717509713055 2061011655666 2290012950740 2748015540888 3435019426110 4122023311332 4580025901480 5152529139165 6870038852220 8244046622664 10305058278330 13740077704440 20610116556660 41220233113320