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42332211240 = 233511153120947
BaseRepresentation
bin100111011011001100…
…100100100000101000
311001021012112010212120
4213123030210200220
51143144021224430
631240330111240
73026013600324
oct473314444050
9131235463776
1042332211240
1116a5347a950
128254b7b520
133cb82c5007
142098222984
15117b61c610
hex9db324828

42332211240 has 128 divisors (see below), whose sum is σ = 138638891520. Its totient is φ = 10255161600.

The previous prime is 42332211239. The next prime is 42332211263. The reversal of 42332211240 is 4211223324.

It is a happy number.

It is a super-2 number, since 2×423322112402 (a number of 22 digits) contains 22 as substring.

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 42332211240.

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, 2010447 + ... + 2031393.

It is an arithmetic number, because the mean of its divisors is an integer number (1083116340).

Almost surely, 242332211240 is an apocalyptic number.

42332211240 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 42332211240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69319445760).

42332211240 is an abundant number, since it is smaller than the sum of its proper divisors (96306680280).

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

42332211240 is a wasteful number, since it uses less digits than its factorization.

42332211240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22503 (or 22499 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 42332211240 its reverse (4211223324), we get a palindrome (46543434564).

The spelling of 42332211240 in words is "forty-two billion, three hundred thirty-two million, two hundred eleven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 1531 3062 4593 6124 7655 9186 12248 15310 16841 18372 20947 22965 30620 33682 36744 41894 45930 50523 61240 62841 67364 83788 84205 91860 101046 104735 125682 134728 167576 168410 183720 202092 209470 230417 251364 252615 314205 336820 404184 418940 460834 502728 505230 628410 673640 691251 837880 921668 1010460 1152085 1256820 1382502 1843336 2020920 2304170 2513640 2765004 3456255 4608340 5530008 6912510 9216680 13825020 27650040 32069857 64139714 96209571 128279428 160349285 192419142 256558856 320698570 352768427 384838284 481047855 641397140 705536854 769676568 962095710 1058305281 1282794280 1411073708 1763842135 1924191420 2116610562 2822147416 3527684270 3848382840 4233221124 5291526405 7055368540 8466442248 10583052810 14110737080 21166105620 42332211240