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140012241320040 = 233513713076516113
BaseRepresentation
bin11111110101011100100011…
…111010000111100001101000
3200100202001001211110000210220
4133311130203322013201220
5121322430032234220130
61213440422525010040
741330356601553555
oct3765344372074150
9610661054400726
10140012241320040
1140680949128171
12138533883b3920
136018136868b3b
1426808b2da5a2c
15112c08e029410
hex7f5723e87868

140012241320040 has 128 divisors (see below), whose sum is σ = 423426470924160. Its totient is φ = 37035703967744.

The previous prime is 140012241320033. The next prime is 140012241320041. The reversal of 140012241320040 is 40023142210041.

It is a super-2 number, since 2×1400122413200402 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (140012241320041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18229024 + ... + 24745136.

It is an arithmetic number, because the mean of its divisors is an integer number (3308019304095).

Almost surely, 2140012241320040 is an apocalyptic number.

140012241320040 is a gapful number since it is divisible by the number (10) 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 140012241320040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211713235462080).

140012241320040 is an abundant number, since it is smaller than the sum of its proper divisors (283414229604120).

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

140012241320040 is a wasteful number, since it uses less digits than its factorization.

140012241320040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6517571 (or 6517567 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 140012241320040 its reverse (40023142210041), we get a palindrome (180035383530081).

The spelling of 140012241320040 in words is "one hundred forty trillion, twelve billion, two hundred forty-one million, three hundred twenty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 137 274 411 548 685 822 1096 1307 1370 1644 2055 2614 2740 3288 3921 4110 5228 5480 6535 7842 8220 10456 13070 15684 16440 19605 26140 31368 39210 52280 78420 156840 179059 358118 537177 716236 895295 1074354 1432472 1790590 2148708 2685885 3581180 4297416 5371770 6516113 7162360 10743540 13032226 19548339 21487080 26064452 32580565 39096678 52128904 65161130 78193356 97741695 130322260 156386712 195483390 260644520 390966780 781933560 892707481 1785414962 2678122443 3570829924 4463537405 5356244886 7141659848 8516559691 8927074810 10712489772 13390612215 17033119382 17854149620 21424979544 25549679073 26781224430 34066238764 35708299240 42582798455 51099358146 53562448860 68132477528 85165596910 102198716292 107124897720 127748395365 170331193820 204397432584 255496790730 340662387640 510993581460 1021987162920 1166768677667 2333537355334 3500306033001 4667074710668 5833843388335 7000612066002 9334149421336 11667686776670 14001224132004 17501530165005 23335373553340 28002448264008 35003060330010 46670747106680 70006120660020 140012241320040