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42155322240 = 2735121718041
BaseRepresentation
bin100111010000101001…
…110010101110000000
311000210212200020210010
4213100221302232000
51142313230302430
631211010504520
73021435220053
oct472051625600
9130725606703
1042155322240
1116972642599
128205895140
133c8a770175
14207c938a9a
15116ad2acb0
hex9d0a72b80

42155322240 has 128 divisors (see below), whose sum is σ = 134487954720. Its totient is φ = 11231559680.

The previous prime is 42155322197. The next prime is 42155322257. The reversal of 42155322240 is 4222355124.

It is a tau number, because it is divible by the number of its divisors (128).

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 = 42155322198 and 42155322207.

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, 2327620 + ... + 2345660.

Almost surely, 242155322240 is an apocalyptic number.

42155322240 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 42155322240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67243977360).

42155322240 is an abundant number, since it is smaller than the sum of its proper divisors (92332632480).

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

42155322240 is a wasteful number, since it uses less digits than its factorization.

42155322240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19280 (or 19268 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 42155322240 its reverse (4222355124), we get a palindrome (46377677364).

The spelling of 42155322240 in words is "forty-two billion, one hundred fifty-five million, three hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1217 1920 2434 3651 4868 6085 7302 9736 12170 14604 18041 18255 19472 24340 29208 36082 36510 38944 48680 54123 58416 72164 73020 77888 90205 97360 108246 116832 144328 146040 155776 180410 194720 216492 233664 270615 288656 292080 360820 389440 432984 467328 541230 577312 584160 721640 778880 865968 1082460 1154624 1168320 1443280 1731936 2164920 2309248 2336640 2886560 3463872 4329840 5773120 6927744 8659680 11546240 17319360 21955897 34638720 43911794 65867691 87823588 109779485 131735382 175647176 219558970 263470764 329338455 351294352 439117940 526941528 658676910 702588704 878235880 1053883056 1317353820 1405177408 1756471760 2107766112 2634707640 2810354816 3512943520 4215532224 5269415280 7025887040 8431064448 10538830560 14051774080 21077661120 42155322240