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42021122240 = 2651713756383
BaseRepresentation
bin100111001000101001…
…110111000011000000
311000110112011011222202
4213020221313003000
51142024401402430
631145414252332
73015215434316
oct471051670300
9130415134882
1042021122240
11169039120a9
1281889570a8
133c68a13a96
142068ba40b6
15115e16cd45
hex9c8a770c0

42021122240 has 112 divisors (see below), whose sum is σ = 106724086272. Its totient is φ = 15703965696.

The previous prime is 42021122219. The next prime is 42021122309. The reversal of 42021122240 is 4222112024.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 717089 + ... + 773471.

Almost surely, 242021122240 is an apocalyptic number.

42021122240 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 42021122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53362043136).

42021122240 is an abundant number, since it is smaller than the sum of its proper divisors (64702964032).

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

42021122240 is a wasteful number, since it uses less digits than its factorization.

42021122240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56554 (or 56544 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 42021122240 its reverse (4222112024), we get a palindrome (46243234264).

The spelling of 42021122240 in words is "forty-two billion, twenty-one million, one hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 136 137 160 170 272 274 320 340 544 548 680 685 1088 1096 1360 1370 2192 2329 2720 2740 4384 4658 5440 5480 8768 9316 10960 11645 18632 21920 23290 37264 43840 46580 56383 74528 93160 112766 149056 186320 225532 281915 372640 451064 563830 745280 902128 958511 1127660 1804256 1917022 2255320 3608512 3834044 4510640 4792555 7668088 7724471 9021280 9585110 15336176 15448942 18042560 19170220 30672352 30897884 38340440 38622355 61344704 61795768 76680880 77244710 123591536 131316007 153361760 154489420 247183072 262632014 306723520 308978840 494366144 525264028 617957680 656580035 1050528056 1235915360 1313160070 2101056112 2471830720 2626320140 4202112224 5252640280 8404224448 10505280560 21010561120 42021122240