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54023024524040 = 235111350091885523
BaseRepresentation
bin11000100100010001101110…
…01011111011101100001000
321002021112212110112222022122
430102020313023323230020
524040103123234232130
6310521500154510412
714244014623564415
oct1422106713735410
9232245773488278
1054023024524040
1116239043a6a420
126086035735408
13241b4706b6220
14d4aa2a7bb10c
1563a3e21712e5
hex3122372fbb08

54023024524040 has 128 divisors (see below), whose sum is σ = 142830705628800. Its totient is φ = 18129972817920.

The previous prime is 54023024524003. The next prime is 54023024524099. The reversal of 54023024524040 is 4042542032045.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27708719 + ... + 29594241.

It is an arithmetic number, because the mean of its divisors is an integer number (1115864887725).

Almost surely, 254023024524040 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 54023024524040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71415352814400).

54023024524040 is an abundant number, since it is smaller than the sum of its proper divisors (88807681104760).

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

54023024524040 is a wasteful number, since it uses less digits than its factorization.

54023024524040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1890567 (or 1890563 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 35.

Adding to 54023024524040 its reverse (4042542032045), we get a palindrome (58065566556085).

The spelling of 54023024524040 in words is "fifty-four trillion, twenty-three billion, twenty-four million, five hundred twenty-four thousand, forty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 130 143 220 260 286 440 520 572 715 1144 1430 2860 5009 5720 10018 20036 25045 40072 50090 55099 65117 100180 110198 130234 200360 220396 260468 275495 325585 440792 520936 550990 651170 716287 1101980 1302340 1432574 1885523 2203960 2604680 2865148 3581435 3771046 5730296 7162870 7542092 9427615 14325740 15084184 18855230 20740753 24511799 28651480 37710460 41481506 49023598 75420920 82963012 98047196 103703765 122558995 165926024 196094392 207407530 245117990 269629789 414815060 490235980 539259578 829630120 980471960 1078519156 1348148945 2157038312 2696297890 5392595780 9444584707 10785191560 18889169414 37778338828 47222923535 75556677656 94445847070 103890431777 122779601191 188891694140 207780863554 245559202382 377783388280 415561727108 491118404764 519452158885 613898005955 831123454216 982236809528 1038904317770 1227796011910 1350575613101 2077808635540 2455592023820 2701151226202 4155617271080 4911184047640 5402302452404 6752878065505 10804604904808 13505756131010 27011512262020 54023024524040