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54354543415040 = 2851137104335349
BaseRepresentation
bin11000101101111011001110…
…10000001000111100000000
321010110020120120211120012002
430112331213100020330000
524111021101103240130
6311334044343123132
714306662153633421
oct1426754720107400
9233406516746162
1054354543415040
11163566a5812a70
12611a3367434a8
1324437c448489b
14d5cab9987648
15643d46985b45
hex316f67408f00

54354543415040 has 144 divisors (see below), whose sum is σ = 145870835493600. Its totient is φ = 19231091343360.

The previous prime is 54354543415001. The next prime is 54354543415093. The reversal of 54354543415040 is 4051434545345.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51646715 + ... + 52688634.

It is an arithmetic number, because the mean of its divisors is an integer number (1012991913150).

Almost surely, 254354543415040 is an apocalyptic number.

It is an amenable number.

54354543415040 is an abundant number, since it is smaller than the sum of its proper divisors (91516292078560).

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

54354543415040 is a wasteful number, since it uses less digits than its factorization.

54354543415040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104335418 (or 104335404 counting only the distinct ones).

The product of its (nonzero) digits is 5760000, while the sum is 47.

The spelling of 54354543415040 in words is "fifty-four trillion, three hundred fifty-four billion, five hundred forty-three million, four hundred fifteen thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 37 40 44 55 64 74 80 88 110 128 148 160 176 185 220 256 296 320 352 370 407 440 592 640 704 740 814 880 1184 1280 1408 1480 1628 1760 2035 2368 2816 2960 3256 3520 4070 4736 5920 6512 7040 8140 9472 11840 13024 14080 16280 23680 26048 32560 47360 52096 65120 104192 130240 260480 520960 104335349 208670698 417341396 521676745 834682792 1043353490 1147688839 1669365584 2086706980 2295377678 3338731168 3860407913 4173413960 4590755356 5738444195 6677462336 7720815826 8346827920 9181510712 11476888390 13354924672 15441631652 16693655840 18363021424 19302039565 22953776780 26709849344 30883263304 33387311680 36726042848 38604079130 42464487043 45907553560 61766526608 66774623360 73452085696 77208158260 84928974086 91815107120 123533053216 133549246720 146904171392 154416316520 169857948172 183630214240 212322435215 247066106432 293808342784 308832633040 339715896344 367260428480 424644870430 494132212864 617665266080 679431792688 734520856960 849289740860 988264425728 1235330532160 1358863585376 1469041713920 1698579481720 2470661064320 2717727170752 3397158963440 4941322128640 5435454341504 6794317926880 10870908683008 13588635853760 27177271707520 54354543415040