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430234014021040 = 24559104986893493
BaseRepresentation
bin110000111010010111010100…
…1100100110111010110110000
32002102022222012011121212012101
41201310232221210313112300
5422342423230042133130
64123010435534510144
7156423244640565625
oct14164565144672660
92072288164555171
10430234014021040
111150a4247812339
1240306298965354
131560ab7cb61828
14783561a28434c
1534b159259a1ca
hex1874ba99375b0

430234014021040 has 80 divisors (see below), whose sum is σ = 1018217962692000. Its totient is φ = 169015488567296.

The previous prime is 430234014020971. The next prime is 430234014021047. The reversal of 430234014021040 is 40120410432034.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (430234014021047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38495467 + ... + 48398026.

It is an arithmetic number, because the mean of its divisors is an integer number (12727724533650).

Almost surely, 2430234014021040 is an apocalyptic number.

430234014021040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

430234014021040 is an abundant number, since it is smaller than the sum of its proper divisors (587983948670960).

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

430234014021040 is a wasteful number, since it uses less digits than its factorization.

430234014021040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86894614 (or 86894608 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 430234014021040 its reverse (40120410432034), we get a palindrome (470354424453074).

The spelling of 430234014021040 in words is "four hundred thirty trillion, two hundred thirty-four billion, fourteen million, twenty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 59 80 118 236 295 472 590 944 1049 1180 2098 2360 4196 4720 5245 8392 10490 16784 20980 41960 61891 83920 123782 247564 309455 495128 618910 990256 1237820 2475640 4951280 86893493 173786986 347573972 434467465 695147944 868934930 1390295888 1737869860 3475739720 5126716087 6951479440 10253432174 20506864348 25633580435 41013728696 51267160870 82027457392 91151274157 102534321740 182302548314 205068643480 364605096628 410137286960 455756370785 729210193256 911512741570 1458420386512 1823025483140 3646050966280 5377925175263 7292101932560 10755850350526 21511700701052 26889625876315 43023401402104 53779251752630 86046802804208 107558503505260 215117007010520 430234014021040