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544256411140 = 2251379131920089
BaseRepresentation
bin1111110101110000011…
…01011100011000000100
31221000211011110100011001
413322320031130120010
532404114120124030
61054010011423044
754215116110151
oct7727015343004
91830734410131
10544256411140
1119a8aa6121a2
1289592454a84
133c427c9a5c0
141c4b0c0d228
15e25613dcca
hex7eb835c604

544256411140 has 96 divisors (see below), whose sum is σ = 1247444352000. Its totient is φ = 198252168192.

The previous prime is 544256411123. The next prime is 544256411143. The reversal of 544256411140 is 41114652445.

It is a self number, because there is not a number n which added to its sum of digits gives 544256411140.

It is not an unprimeable number, because it can be changed into a prime (544256411143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27082216 + ... + 27102304.

It is an arithmetic number, because the mean of its divisors is an integer number (12994212000).

Almost surely, 2544256411140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 544256411140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623722176000).

544256411140 is an abundant number, since it is smaller than the sum of its proper divisors (703187940860).

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

544256411140 is a wasteful number, since it uses less digits than its factorization.

544256411140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21509 (or 21507 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 37.

The spelling of 544256411140 in words is "five hundred forty-four billion, two hundred fifty-six million, four hundred eleven thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 79 130 158 260 316 395 790 1027 1319 1580 2054 2638 4108 5135 5276 6595 10270 13190 17147 20089 20540 26380 34294 40178 68588 80356 85735 100445 104201 171470 200890 208402 261157 342940 401780 416804 521005 522314 1042010 1044628 1305785 1354613 1587031 2084020 2611570 2709226 3174062 5223140 5418452 6348124 6773065 7935155 13546130 15870310 20631403 26497391 27092260 31740620 41262806 52994782 82525612 103157015 105989564 132486955 206314030 264973910 344466083 412628060 529947820 688932166 1377864332 1722330415 2093293889 3444660830 4186587778 6889321660 8373175556 10466469445 20932938890 27212820557 41865877780 54425641114 108851282228 136064102785 272128205570 544256411140