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41035137120 = 2532537770179
BaseRepresentation
bin100110001101111000…
…101000000001100000
310220220210211221200100
4212031320220001200
51133014443341440
630503513222400
72651613624165
oct461570500140
9126823757610
1041035137120
11164482a096a
127b52701a00
133b3c672a33
141db3c6406c
151102809230
hex98de28060

41035137120 has 144 divisors (see below), whose sum is σ = 143817251760. Its totient is φ = 10646940672.

The previous prime is 41035137113. The next prime is 41035137181. The reversal of 41035137120 is 2173153014.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 331810 + ... + 438369.

It is an arithmetic number, because the mean of its divisors is an integer number (998730915).

Almost surely, 241035137120 is an apocalyptic number.

41035137120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41035137120 is an abundant number, since it is smaller than the sum of its proper divisors (102782114640).

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

41035137120 is a wasteful number, since it uses less digits than its factorization.

41035137120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770237 (or 770226 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 41035137120 in words is "forty-one billion, thirty-five million, one hundred thirty-seven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 37 40 45 48 60 72 74 80 90 96 111 120 144 148 160 180 185 222 240 288 296 333 360 370 444 480 555 592 666 720 740 888 1110 1184 1332 1440 1480 1665 1776 2220 2664 2960 3330 3552 4440 5328 5920 6660 8880 10656 13320 17760 26640 53280 770179 1540358 2310537 3080716 3850895 4621074 6161432 6931611 7701790 9242148 11552685 12322864 13863222 15403580 18484296 23105370 24645728 27726444 28496623 30807160 34658055 36968592 46210740 55452888 56993246 61614320 69316110 73937184 85489869 92421480 110905776 113986492 123228640 138632220 142483115 170979738 184842960 221811552 227972984 256469607 277264440 284966230 341959476 369685920 427449345 455945968 512939214 554528880 569932460 683918952 854898690 911891936 1025878428 1109057760 1139864920 1282348035 1367837904 1709797380 2051756856 2279729840 2564696070 2735675808 3419594760 4103513712 4559459680 5129392140 6839189520 8207027424 10258784280 13678379040 20517568560 41035137120