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42361301040 = 24351950918251
BaseRepresentation
bin100111011100111011…
…100010100000110000
311001100020021001120120
4213130323202200300
51143223443113130
631243245410240
73026516055252
oct473473424060
9131306231516
1042361301040
1116a68939503
128262869980
133cc133b906
14209c035cd2
15117de66910
hex9dcee2830

42361301040 has 160 divisors (see below), whose sum is σ = 138510777600. Its totient is φ = 10680192000.

The previous prime is 42361301023. The next prime is 42361301057. The reversal of 42361301040 is 4010316324.

It is an interprime number because it is at equal distance from previous prime (42361301023) and next prime (42361301057).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 42361301040.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2311915 + ... + 2330165.

It is an arithmetic number, because the mean of its divisors is an integer number (865692360).

Almost surely, 242361301040 is an apocalyptic number.

42361301040 is a gapful number since it is divisible by the number (40) 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 42361301040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69255388800).

42361301040 is an abundant number, since it is smaller than the sum of its proper divisors (96149476560).

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

42361301040 is a wasteful number, since it uses less digits than its factorization.

42361301040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18795 (or 18789 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 42361301040 its reverse (4010316324), we get a palindrome (46371617364).

The spelling of 42361301040 in words is "forty-two billion, three hundred sixty-one million, three hundred one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 509 570 760 912 1018 1140 1520 1527 2036 2280 2545 3054 4072 4560 5090 6108 7635 8144 9671 10180 12216 15270 18251 19342 20360 24432 29013 30540 36502 38684 40720 48355 54753 58026 61080 73004 77368 91255 96710 109506 116052 122160 145065 146008 154736 182510 193420 219012 232104 273765 290130 292016 346769 365020 386840 438024 464208 547530 580260 693538 730040 773680 876048 1040307 1095060 1160520 1387076 1460080 1733845 2080614 2190120 2321040 2774152 3467690 4161228 4380240 5201535 5548304 6935380 8322456 9289759 10403070 13870760 16644912 18579518 20806140 27741520 27869277 37159036 41612280 46448795 55738554 74318072 83224560 92897590 111477108 139346385 148636144 176505421 185795180 222954216 278692770 353010842 371590360 445908432 529516263 557385540 706021684 743180720 882527105 1059032526 1114771080 1412043368 1765054210 2118065052 2229542160 2647581315 2824086736 3530108420 4236130104 5295162630 7060216840 8472260208 10590325260 14120433680 21180650520 42361301040