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1021303342440 = 23345487647263
BaseRepresentation
bin11101101110010100110…
…11000100010101101000
310121122011101102100110000
432313022123010111220
5113213112123424230
62101102535023000
7133533564114063
oct16671233042550
93548141370400
101021303342440
11364150125427
12145b2850aa60
13754019ab904
143760787d8da
151b876b32b60
hexedca6c4568

1021303342440 has 160 divisors (see below), whose sum is σ = 3439768020480. Its totient is φ = 271787902848.

The previous prime is 1021303342421. The next prime is 1021303342471. The reversal of 1021303342440 is 442433031201.

1021303342440 is a `hidden beast` number, since 1 + 0 + 213 + 0 + 3 + 3 + 4 + 2 + 440 = 666.

1021303342440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1254249 + ... + 1901511.

It is an arithmetic number, because the mean of its divisors is an integer number (21498550128).

Almost surely, 21021303342440 is an apocalyptic number.

1021303342440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1021303342440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1719884010240).

1021303342440 is an abundant number, since it is smaller than the sum of its proper divisors (2418464678040).

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

1021303342440 is a wasteful number, since it uses less digits than its factorization.

1021303342440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647773 (or 647760 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 1021303342440 its reverse (442433031201), we get a palindrome (1463736373641).

The spelling of 1021303342440 in words is "one trillion, twenty-one billion, three hundred three million, three hundred forty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 487 540 648 810 974 1080 1461 1620 1948 2435 2922 3240 3896 4383 4870 5844 7305 8766 9740 11688 13149 14610 17532 19480 21915 26298 29220 35064 39447 43830 52596 58440 65745 78894 87660 105192 131490 157788 175320 197235 262980 315576 394470 525960 647263 788940 1294526 1577880 1941789 2589052 3236315 3883578 5178104 5825367 6472630 7767156 9708945 11650734 12945260 15534312 17476101 19417890 23301468 25890520 29126835 34952202 38835780 46602936 52428303 58253670 69904404 77671560 87380505 104856606 116507340 139808808 174761010 209713212 233014680 262141515 315217081 349522020 419426424 524283030 630434162 699044040 945651243 1048566060 1260868324 1576085405 1891302486 2097132120 2521736648 2836953729 3152170810 3782604972 4728256215 5673907458 6304341620 7565209944 8510861187 9456512430 11347814916 12608683240 14184768645 17021722374 18913024860 22695629832 25532583561 28369537290 34043444748 37826049720 42554305935 51065167122 56739074580 68086889496 85108611870 102130334244 113478149160 127662917805 170217223740 204260668488 255325835610 340434447480 510651671220 1021303342440