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33241031040 = 273572473291
BaseRepresentation
bin11110111101010100…
…011110000110000000
310011210121212100010210
4132331110132012000
51021034200443130
623134250354120
72254513046640
oct367524360600
9104717770123
1033241031040
1113108771688
12653842b940
13319999b849
141874a74520
15ce842e5b0
hex7bd51e180

33241031040 has 128 divisors (see below), whose sum is σ = 121092376320. Its totient is φ = 7597946880.

The previous prime is 33241031027. The next prime is 33241031041. The reversal of 33241031040 is 4013014233.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×332410310402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 33241030998 and 33241031016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33241031041) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1223206 + ... + 1250085.

It is an arithmetic number, because the mean of its divisors is an integer number (946034190).

Almost surely, 233241031040 is an apocalyptic number.

33241031040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33241031040 is an abundant number, since it is smaller than the sum of its proper divisors (87851345280).

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

33241031040 is a wasteful number, since it uses less digits than its factorization.

33241031040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2473320 (or 2473308 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 33241031040 its reverse (4013014233), we get a palindrome (37254045273).

The spelling of 33241031040 in words is "thirty-three billion, two hundred forty-one million, thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 280 320 336 384 420 448 480 560 640 672 840 896 960 1120 1344 1680 1920 2240 2688 3360 4480 6720 13440 2473291 4946582 7419873 9893164 12366455 14839746 17313037 19786328 24732910 29679492 34626074 37099365 39572656 49465820 51939111 59358984 69252148 74198730 79145312 86565185 98931640 103878222 118717968 138504296 148397460 158290624 173130370 197863280 207756444 237435936 259695555 277008592 296794920 316581248 346260740 395726560 415512888 474871872 519391110 554017184 593589840 692521480 791453120 831025776 949743744 1038782220 1108034368 1187179680 1385042960 1582906240 1662051552 2077564440 2216068736 2374359360 2770085920 3324103104 4155128880 4748718720 5540171840 6648206208 8310257760 11080343680 16620515520 33241031040