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10414430320420 = 22571741106727099
BaseRepresentation
bin1001011110001100110001…
…1010110111011100100100
31100212121110112222212001001
42113203030122313130210
52331112223130223140
634052153453043044
72123263202060320
oct227431432673444
940777415885031
1010414430320420
11335580a459765
121202477786484
135a70cc2a1aa9
142800bd9c2980
15130d83621e9a
hex978cc6b7724

10414430320420 has 96 divisors (see below), whose sum is σ = 27110391033600. Its totient is φ = 3278656450560.

The previous prime is 10414430320397. The next prime is 10414430320439. The reversal of 10414430320420 is 2402303441401.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53265970 + ... + 53461129.

It is an arithmetic number, because the mean of its divisors is an integer number (282399906600).

Almost surely, 210414430320420 is an apocalyptic number.

10414430320420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10414430320420 is an abundant number, since it is smaller than the sum of its proper divisors (16695960713180).

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

10414430320420 is a wasteful number, since it uses less digits than its factorization.

10414430320420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106727173 (or 106727171 counting only the distinct ones).

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

Adding to 10414430320420 its reverse (2402303441401), we get a palindrome (12816733761821).

The spelling of 10414430320420 in words is "ten trillion, four hundred fourteen billion, four hundred thirty million, three hundred twenty thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 41 68 70 82 85 119 140 164 170 205 238 287 340 410 476 574 595 697 820 1148 1190 1394 1435 2380 2788 2870 3485 4879 5740 6970 9758 13940 19516 24395 48790 97580 106727099 213454198 426908396 533635495 747089693 1067270990 1494179386 1814360683 2134541980 2988358772 3628721366 3735448465 4375811059 7257442732 7470896930 8751622118 9071803415 12700524781 14941793860 17503244236 18143606830 21879055295 25401049562 30630677413 36287213660 43758110590 50802099124 61261354826 63502623905 74388788003 87516221180 122522709652 127005247810 148777576006 153153387065 254010495620 297555152012 306306774130 371943940015 520721516021 612613548260 743887880030 1041443032042 1487775760060 2082886064084 2603607580105 5207215160210 10414430320420