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42248636715040 = 255723271308123
BaseRepresentation
bin10011001101100110001101…
…11110111101000000100000
312112120221010010121200000021
421212303012332331000200
521014200201444340130
6225504431125003224
711620235413542610
oct1146630676750040
9175527103550007
1042248636715040
1112509601007a18
1248a409ab53514
131a7604c625812
14a60bb86a4a40
154d3eb5ec237a
hex266cc6fbd020

42248636715040 has 144 divisors (see below), whose sum is σ = 119246579137728. Its totient is φ = 13855453337088.

The previous prime is 42248636715037. The next prime is 42248636715049. The reversal of 42248636715040 is 4051763684224.

It is not an unprimeable number, because it can be changed into a prime (42248636715049) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35061582 + ... + 36246541.

It is an arithmetic number, because the mean of its divisors is an integer number (828101244012).

Almost surely, 242248636715040 is an apocalyptic number.

42248636715040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42248636715040 is an abundant number, since it is smaller than the sum of its proper divisors (76997942422688).

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

42248636715040 is a wasteful number, since it uses less digits than its factorization.

42248636715040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71308191 (or 71308160 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 52.

The spelling of 42248636715040 in words is "forty-two trillion, two hundred forty-eight billion, six hundred thirty-six million, seven hundred fifteen thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 32 35 40 46 56 70 80 92 112 115 140 160 161 184 224 230 280 322 368 460 529 560 644 736 805 920 1058 1120 1288 1610 1840 2116 2576 2645 3220 3680 3703 4232 5152 5290 6440 7406 8464 10580 12880 14812 16928 18515 21160 25760 29624 37030 42320 59248 74060 84640 118496 148120 296240 592480 71308123 142616246 285232492 356540615 499156861 570464984 713081230 998313722 1140929968 1426162460 1640086829 1996627444 2281859936 2495784305 2852324920 3280173658 3993254888 4991568610 5704649840 6560347316 7986509776 8200434145 9983137220 11409299680 11480607803 13120694632 15973019552 16400868290 19966274440 22961215606 26241389264 32801736580 37721997067 39932548880 45922431212 52482778528 57403039015 65603473160 75443994134 79865097760 91844862424 114806078030 131206946320 150887988268 183689724848 188609985335 229612156060 262413892640 264053979469 301775976536 367379449696 377219970670 459224312120 528107958938 603551953072 754439941340 918448624240 1056215917876 1207103906144 1320269897345 1508879882680 1836897248480 2112431835752 2640539794690 3017759765360 4224863671504 5281079589380 6035519530720 8449727343008 10562159178760 21124318357520 42248636715040