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21544091240 = 2357414739929
BaseRepresentation
bin10100000100001000…
…001011111001101000
32001121110000020020012
4110010020023321220
5323110241404430
613521444351052
71361611516430
oct240410137150
961543006205
1021544091240
119156094691
1242130a5488
1320545669a9
1410853c52c0
158615c4695
hex50420be68

21544091240 has 128 divisors (see below), whose sum is σ = 57959193600. Its totient is φ = 7052881920.

The previous prime is 21544091209. The next prime is 21544091299. The reversal of 21544091240 is 4219044512.

It is a junction number, because it is equal to n+sod(n) for n = 21544091197 and 21544091206.

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 31 ways as a sum of consecutive naturals, for example, 519596 + ... + 559524.

It is an arithmetic number, because the mean of its divisors is an integer number (452806200).

Almost surely, 221544091240 is an apocalyptic number.

21544091240 is a gapful number since it is divisible by the number (20) 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 21544091240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28979596800).

21544091240 is an abundant number, since it is smaller than the sum of its proper divisors (36415102360).

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

21544091240 is a wasteful number, since it uses less digits than its factorization.

21544091240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40035 (or 40031 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The spelling of 21544091240 in words is "twenty-one billion, five hundred forty-four million, ninety-one thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 41 47 56 70 82 94 140 164 188 205 235 280 287 328 329 376 410 470 574 658 820 940 1148 1316 1435 1640 1645 1880 1927 2296 2632 2870 3290 3854 5740 6580 7708 9635 11480 13160 13489 15416 19270 26978 38540 39929 53956 67445 77080 79858 107912 134890 159716 199645 269780 279503 319432 399290 539560 559006 798580 1118012 1397515 1597160 1637089 1876663 2236024 2795030 3274178 3753326 5590060 6548356 7506652 8185445 9383315 11180120 11459623 13096712 13136641 15013304 16370890 18766630 22919246 26273282 32741780 37533260 45838492 52546564 57298115 65483560 65683205 75066520 76943183 91676984 105093128 114596230 131366410 153886366 229192460 262732820 307772732 384715915 458384920 525465640 538602281 615545464 769431830 1077204562 1538863660 2154409124 2693011405 3077727320 4308818248 5386022810 10772045620 21544091240