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42240204204 = 22311618958943
BaseRepresentation
bin100111010101101101…
…100101110110101100
311001000210101200221120
4213111231211312230
51143001443013304
631223242100540
73023515545252
oct472555456654
9131023350846
1042240204204
1116a06548680
12822a1aa750
133ca221c693
142089d125d2
1511734e60d9
hex9d5b65dac

42240204204 has 96 divisors (see below), whose sum is σ = 110512926720. Its totient is φ = 12448550400.

The previous prime is 42240204199. The next prime is 42240204211. The reversal of 42240204204 is 40240204224.

It is a super-3 number, since 3×422402042043 (a number of 33 digits) contains 333 as substring.

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, 687157 + ... + 746099.

It is an arithmetic number, because the mean of its divisors is an integer number (1151176320).

Almost surely, 242240204204 is an apocalyptic number.

42240204204 is a gapful number since it is divisible by the number (44) 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 42240204204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55256463360).

42240204204 is an abundant number, since it is smaller than the sum of its proper divisors (68272722516).

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

42240204204 is a wasteful number, since it uses less digits than its factorization.

42240204204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59111 (or 59109 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 42240204204 its reverse (40240204224), we get a palindrome (82480408428).

It can be divided in two parts, 4224020 and 4204, that added together give a palindrome (4228224).

The spelling of 42240204204 in words is "forty-two billion, two hundred forty million, two hundred four thousand, two hundred four".

Divisors: 1 2 3 4 6 11 12 22 33 44 61 66 89 122 132 178 183 244 267 356 366 534 671 732 979 1068 1342 1958 2013 2684 2937 3916 4026 5429 5874 8052 10858 11748 16287 21716 32574 58943 59719 65148 117886 119438 176829 179157 235772 238876 353658 358314 648373 707316 716628 1296746 1945119 2593492 3595523 3890238 5245927 7191046 7780476 10491854 10786569 14382092 15737781 20983708 21573138 31475562 39550753 43146276 57705197 62951124 79101506 115410394 118652259 158203012 173115591 230820788 237304518 320001547 346231182 474609036 640003094 692462364 960004641 1280006188 1920009282 3520017017 3840018564 7040034034 10560051051 14080068068 21120102102 42240204204