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332202113040 = 2435734035497
BaseRepresentation
bin1001101010110001100…
…10011111100000010000
31011202110201212212022110
410311120302133200100
520420322220104130
6412340032105320
733000164241000
oct4653062374020
91152421785273
10332202113040
11118982483466
1254471995240
13254324b5075
1412115c18000
1589947c0ab0
hex4d58c9f810

332202113040 has 160 divisors (see below), whose sum is σ = 1200964204800. Its totient is φ = 75931892736.

The previous prime is 332202113011. The next prime is 332202113053. The reversal of 332202113040 is 40311202233.

It is a super-2 number, since 2×3322021130402 (a number of 24 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 = 332202112998 and 332202113016.

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 31 ways as a sum of consecutive naturals, for example, 1935429 + ... + 2100068.

It is an arithmetic number, because the mean of its divisors is an integer number (7506026280).

Almost surely, 2332202113040 is an apocalyptic number.

332202113040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

332202113040 is an abundant number, since it is smaller than the sum of its proper divisors (868762091760).

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

332202113040 is a wasteful number, since it uses less digits than its factorization.

332202113040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4035534 (or 4035514 counting only the distinct ones).

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

Adding to 332202113040 its reverse (40311202233), we get a palindrome (372513315273).

The spelling of 332202113040 in words is "three hundred thirty-two billion, two hundred two million, one hundred thirteen thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 49 56 60 70 80 84 98 105 112 120 140 147 168 196 210 240 245 280 294 336 343 392 420 490 560 588 686 735 784 840 980 1029 1176 1372 1470 1680 1715 1960 2058 2352 2744 2940 3430 3920 4116 5145 5488 5880 6860 8232 10290 11760 13720 16464 20580 27440 41160 82320 4035497 8070994 12106491 16141988 20177485 24212982 28248479 32283976 40354970 48425964 56496958 60532455 64567952 80709940 84745437 96851928 112993916 121064910 141242395 161419880 169490874 193703856 197739353 225987832 242129820 282484790 322839760 338981748 395478706 423727185 451975664 484259640 564969580 593218059 677963496 790957412 847454370 968519280 988696765 1129939160 1186436118 1355926992 1384175471 1581914824 1694908740 1977393530 2259878320 2372872236 2768350942 2966090295 3163829648 3389817480 3954787060 4152526413 4745744472 5536701884 5932180590 6779634960 6920877355 7909574120 8305052826 9491488944 11073403768 11864361180 13841754710 15819148240 16610105652 20762632065 22146807536 23728722360 27683509420 33220211304 41525264130 47457444720 55367018840 66440422608 83050528260 110734037680 166101056520 332202113040