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54342250615040 = 285234434166737
BaseRepresentation
bin11000101101100100010101…
…00010110101000100000000
321010102001211212202121202012
430112302022202311010000
524110320412124140130
6311324252453512052
714306045425565363
oct1426621242650400
9233361755677665
1054342250615040
1116351467855423
126117a85942628
1324425b577352b
14d5c27110c0da
15643877679995
hex316c8a8b5100

54342250615040 has 144 divisors (see below), whose sum is σ = 136132730552448. Its totient is φ = 20744878522368.

The previous prime is 54342250615033. The next prime is 54342250615049. The reversal of 54342250615040 is 4051605224345.

It is not an unprimeable number, because it can be changed into a prime (54342250615049) 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, 10958552 + ... + 15125288.

It is an arithmetic number, because the mean of its divisors is an integer number (945366184392).

Almost surely, 254342250615040 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 54342250615040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68066365276224).

54342250615040 is an abundant number, since it is smaller than the sum of its proper divisors (81790479937408).

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

54342250615040 is a wasteful number, since it uses less digits than its factorization.

54342250615040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4167224 (or 4167210 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 41.

Adding to 54342250615040 its reverse (4051605224345), we get a palindrome (58393855839385).

The spelling of 54342250615040 in words is "fifty-four trillion, three hundred forty-two billion, two hundred fifty million, six hundred fifteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 184 230 256 320 368 443 460 640 736 886 920 1280 1472 1772 1840 2215 2944 3544 3680 4430 5888 7088 7360 8860 10189 14176 14720 17720 20378 28352 29440 35440 40756 50945 56704 70880 81512 101890 113408 141760 163024 203780 283520 326048 407560 567040 652096 815120 1304192 1630240 2608384 3260480 4166737 6520960 8333474 13041920 16666948 20833685 33333896 41667370 66667792 83334740 95834951 133335584 166669480 191669902 266671168 333338960 383339804 479174755 533342336 666677920 766679608 958349510 1066684672 1333355840 1533359216 1845864491 1916699020 2666711680 3066718432 3691728982 3833398040 5333423360 6133436864 7383457964 7666796080 9229322455 12266873728 14766915928 15333592160 18458644910 24533747456 29533831856 30667184320 36917289820 42454883293 59067663712 61334368640 73834579640 84909766586 118135327424 122668737280 147669159280 169819533172 212274416465 236270654848 295338318560 339639066344 424548832930 472541309696 590676637120 679278132688 849097665860 1181353274240 1358556265376 1698195331720 2362706548480 2717112530752 3396390663440 5434225061504 6792781326880 10868450123008 13585562653760 27171125307520 54342250615040