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42440622240 = 2535194653577
BaseRepresentation
bin100111100001101010…
…001000000010100000
311001112202111222210210
4213201222020002200
51143404244402430
631255201454120
73031501223352
oct474152100240
9131482458723
1042440622240
1116aa9696715
128285341340
1340048c2033
1420a87a30d2
151185dd42b0
hex9e1a880a0

42440622240 has 96 divisors (see below), whose sum is σ = 140724198720. Its totient is φ = 10721839104.

The previous prime is 42440622233. The next prime is 42440622271. The reversal of 42440622240 is 4222604424.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×424406222402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 42440622198 and 42440622207.

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, 2317669 + ... + 2335908.

It is an arithmetic number, because the mean of its divisors is an integer number (1465877070).

Almost surely, 242440622240 is an apocalyptic number.

42440622240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42440622240 is an abundant number, since it is smaller than the sum of its proper divisors (98283576480).

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

42440622240 is a wasteful number, since it uses less digits than its factorization.

42440622240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4653614 (or 4653606 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

The spelling of 42440622240 in words is "forty-two billion, four hundred forty million, six hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 76 80 95 96 114 120 152 160 190 228 240 285 304 380 456 480 570 608 760 912 1140 1520 1824 2280 3040 4560 9120 4653577 9307154 13960731 18614308 23267885 27921462 37228616 46535770 55842924 69803655 74457232 88417963 93071540 111685848 139607310 148914464 176835926 186143080 223371696 265253889 279214620 353671852 372286160 442089815 446743392 530507778 558429240 707343704 744572320 884179630 1061015556 1116858480 1326269445 1414687408 1768359260 2122031112 2233716960 2652538890 2829374816 3536718520 4244062224 5305077780 7073437040 8488124448 10610155560 14146874080 21220311120 42440622240