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42422606422240 = 2551134769463267
BaseRepresentation
bin10011010010101010010000…
…11000101110000011100000
312120012120011101022110200011
421221111020120232003200
521030022444221002430
6230120402031334304
711635634506626262
oct1151251030560340
9176176141273604
1042422606422240
1112576365408940
124911951081394
131a89585b25c75
14a6939d647b32
154d87990ac22a
hex26954862e0e0

42422606422240 has 96 divisors (see below), whose sum is σ = 109649713509504. Its totient is φ = 15381945623040.

The previous prime is 42422606422093. The next prime is 42422606422277. The reversal of 42422606422240 is 4222460622424.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 42422606422193 and 42422606422202.

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, 34120914 + ... + 35342353.

It is an arithmetic number, because the mean of its divisors is an integer number (1142184515724).

Almost surely, 242422606422240 is an apocalyptic number.

42422606422240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42422606422240 is an abundant number, since it is smaller than the sum of its proper divisors (67227107087264).

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

42422606422240 is a wasteful number, since it uses less digits than its factorization.

42422606422240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69463640 (or 69463632 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 40.

The spelling of 42422606422240 in words is "forty-two trillion, four hundred twenty-two billion, six hundred six million, four hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 347 352 440 694 880 1388 1735 1760 2776 3470 3817 5552 6940 7634 11104 13880 15268 19085 27760 30536 38170 55520 61072 76340 122144 152680 305360 610720 69463267 138926534 277853068 347316335 555706136 694632670 764095937 1111412272 1389265340 1528191874 2222824544 2778530680 3056383748 3820479685 5557061360 6112767496 7640959370 11114122720 12225534992 15281918740 24103753649 24451069984 30563837480 48207507298 61127674960 96415014596 120518768245 122255349920 192830029192 241037536490 265141290139 385660058384 482075072980 530282580278 771320116768 964150145960 1060565160556 1325706450695 1928300291920 2121130321112 2651412901390 3856600583840 4242260642224 5302825802780 8484521284448 10605651605560 21211303211120 42422606422240