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42334103040 = 293511348781
BaseRepresentation
bin100111011011010011…
…110010011000000000
311001021100002020221020
4213123103302120000
51143200012244130
631240434425440
73026035636635
oct473323623000
9131240066836
1042334103040
1116a54552219
128255732280
133cb8808118
14209859618c
15117b892e10
hex9db4f2600

42334103040 has 160 divisors (see below), whose sum is σ = 136537305696. Its totient is φ = 11188961280.

The previous prime is 42334103023. The next prime is 42334103057. The reversal of 42334103040 is 4030143324.

It is an interprime number because it is at equal distance from previous prime (42334103023) and next prime (42334103057).

It is a tau number, because it is divible by the number of its divisors (160).

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 42334103040.

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, 843450 + ... + 892230.

Almost surely, 242334103040 is an apocalyptic number.

42334103040 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 42334103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68268652848).

42334103040 is an abundant number, since it is smaller than the sum of its proper divisors (94203202656).

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

42334103040 is a wasteful number, since it uses less digits than its factorization.

42334103040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48920 (or 48904 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 42334103040 its reverse (4030143324), we get a palindrome (46364246364).

The spelling of 42334103040 in words is "forty-two billion, three hundred thirty-four million, one hundred three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 113 120 128 160 192 226 240 256 320 339 384 452 480 512 565 640 678 768 904 960 1130 1280 1356 1536 1695 1808 1920 2260 2560 2712 3390 3616 3840 4520 5424 6780 7232 7680 9040 10848 13560 14464 18080 21696 27120 28928 36160 43392 48781 54240 57856 72320 86784 97562 108480 144640 146343 173568 195124 216960 243905 289280 292686 390248 433920 487810 585372 731715 780496 867840 975620 1170744 1463430 1560992 1951240 2341488 2926860 3121984 3902480 4682976 5512253 5853720 6243968 7804960 9365952 11024506 11707440 12487936 15609920 16536759 18731904 22049012 23414880 24975872 27561265 31219840 33073518 37463808 44098024 46829760 55122530 62439680 66147036 74927616 82683795 88196048 93659520 110245060 124879360 132294072 165367590 176392096 187319040 220490120 264588144 330735180 352784192 374638080 440980240 529176288 661470360 705568384 881960480 1058352576 1322940720 1411136768 1763920960 2116705152 2645881440 2822273536 3527841920 4233410304 5291762880 7055683840 8466820608 10583525760 14111367680 21167051520 42334103040