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42034120531332 = 223192231823231419
BaseRepresentation
bin10011000111010110101001…
…10100101001110110000100
312111211102102010120110000020
421203223110310221312010
521002141334324000312
6225222113002415140
711565602456220366
oct1143532464516604
9174742363513006
1042034120531332
1112436630238086
12486a5b1b014b0
131a5ba53a97337
14a54668740d36
154cd60d45678c
hex263ad4d29d84

42034120531332 has 144 divisors (see below), whose sum is σ = 108073688002560. Its totient is φ = 12689785665216.

The previous prime is 42034120531331. The next prime is 42034120531373. The reversal of 42034120531332 is 23313502143024.

It is a junction number, because it is equal to n+sod(n) for n = 42034120531293 and 42034120531302.

It is not an unprimeable number, because it can be changed into a prime (42034120531331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 181520719 + ... + 181752137.

It is an arithmetic number, because the mean of its divisors is an integer number (750511722240).

Almost surely, 242034120531332 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 42034120531332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54036844001280).

42034120531332 is an abundant number, since it is smaller than the sum of its proper divisors (66039567471228).

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

42034120531332 is a wasteful number, since it uses less digits than its factorization.

42034120531332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233310 (or 233289 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 33.

Adding to 42034120531332 its reverse (23313502143024), we get a palindrome (65347622674356).

The spelling of 42034120531332 in words is "forty-two trillion, thirty-four billion, one hundred twenty million, five hundred thirty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 19 23 38 46 57 69 76 92 114 138 228 276 361 437 722 874 1083 1311 1444 1748 1823 2166 2622 3646 4332 5244 5469 7292 8303 10938 16606 21876 24909 33212 34637 41929 49818 69274 83858 99636 103911 125787 138548 167716 207822 231419 251574 415644 462838 503148 658103 694257 796651 925676 1316206 1388514 1593302 1974309 2389953 2632412 2777028 3186604 3948618 4396961 4779906 5322637 7897236 8793922 9559812 10645274 13190883 15136369 15967911 17587844 21290548 26381766 30272738 31935822 45409107 52763532 60545476 63871644 83542259 90818214 101130103 167084518 181636428 202260206 250626777 303390309 334169036 404520412 421876837 501253554 606780618 843753674 1002507108 1213561236 1265630511 1687507348 1921471957 2531261022 3842943914 5062522044 5764415871 7685887828 8015659903 9703167251 11528831742 16031319806 19406334502 23057663484 24046979709 29109501753 32062639612 38812669004 48093959418 58219003506 96187918836 116438007012 152297538157 184360177769 304595076314 368720355538 456892614471 553080533307 609190152628 737440711076 913785228942 1106161066614 1827570457884 2212322133228 3502843377611 7005686755222 10508530132833 14011373510444 21017060265666 42034120531332