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10041214320 = 2432526635237
BaseRepresentation
bin10010101101000000…
…01100010101110000
3221220210022112112200
421112200030111300
5131031022324240
64340214023200
7503554625214
oct112640142560
927823275480
1010041214320
114293004a35
121b42947b00
13c403ba947
146b3810944
153db7ee930
hex25680c570

10041214320 has 120 divisors (see below), whose sum is σ = 33740849376. Its totient is φ = 2676140544.

The previous prime is 10041214289. The next prime is 10041214333. The reversal of 10041214320 is 2341214001.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10041214293 and 10041214302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1914742 + ... + 1919978.

Almost surely, 210041214320 is an apocalyptic number.

10041214320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10041214320 is an abundant number, since it is smaller than the sum of its proper divisors (23699635056).

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

10041214320 is a wasteful number, since it uses less digits than its factorization.

10041214320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7919 (or 7910 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10041214320 its reverse (2341214001), we get a palindrome (12382428321).

The spelling of 10041214320 in words is "ten billion, forty-one million, two hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 2663 5237 5326 7989 10474 10652 13315 15711 15978 20948 21304 23967 26185 26630 31422 31956 39945 41896 42608 47133 47934 52370 53260 62844 63912 78555 79890 83792 94266 95868 104740 106520 119835 125688 127824 157110 159780 188532 191736 209480 213040 235665 239670 251376 314220 319560 377064 383472 418960 471330 479340 628440 639120 754128 942660 958680 1256880 1885320 1917360 3770640 13946131 27892262 41838393 55784524 69730655 83676786 111569048 125515179 139461310 167353572 209191965 223138096 251030358 278922620 334707144 418383930 502060716 557845240 627575895 669414288 836767860 1004121432 1115690480 1255151790 1673535720 2008242864 2510303580 3347071440 5020607160 10041214320