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41272691130 = 23351156324683
BaseRepresentation
bin100110011100000010…
…110100100110111010
310221112100211221112000
4212130002310212322
51134011302104010
630543241001430
72660530041366
oct463402644672
9127470757460
1041272691130
111655a3a37a0
127bba183276
133b79948438
141dd76202a6
1511185d07c0
hex99c0b49ba

41272691130 has 128 divisors (see below), whose sum is σ = 120284144640. Its totient is φ = 9987324480.

The previous prime is 41272691087. The next prime is 41272691149. The reversal of 41272691130 is 3119627214.

41272691130 is a `hidden beast` number, since 412 + 7 + 26 + 91 + 130 = 666.

It is a super-2 number, since 2×412726911302 (a number of 22 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 1659769 + ... + 1684451.

It is an arithmetic number, because the mean of its divisors is an integer number (939719880).

Almost surely, 241272691130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41272691130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60142072320).

41272691130 is an abundant number, since it is smaller than the sum of its proper divisors (79011453510).

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

41272691130 is a wasteful number, since it uses less digits than its factorization.

41272691130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25273 (or 25267 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 41272691130 in words is "forty-one billion, two hundred seventy-two million, six hundred ninety-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 330 495 563 594 990 1126 1485 1689 2815 2970 3378 5067 5630 6193 8445 10134 12386 15201 16890 18579 24683 25335 30402 30965 37158 49366 50670 55737 61930 74049 76005 92895 111474 123415 148098 152010 167211 185790 222147 246830 271513 278685 334422 370245 444294 543026 557370 666441 740490 814539 836055 1110735 1332882 1357565 1629078 1672110 2221470 2443617 2715130 3332205 4072695 4887234 6664410 7330851 8145390 12218085 13896529 14661702 24436170 27793058 36654255 41689587 69482645 73308510 83379174 125068761 138965290 152861819 208447935 250137522 305723638 375206283 416895870 458585457 625343805 750412566 764309095 917170914 1250687610 1375756371 1528618190 1876031415 2292927285 2751512742 3752062830 4127269113 4585854570 6878781855 8254538226 13757563710 20636345565 41272691130