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120430441001414 = 23721031818572753
BaseRepresentation
bin11011011000011111100101…
…101001111111000111000110
3120210102001000111110111112002
4123120133211221333013012
5111241113020344021124
61104044551505225302
734236545411264345
oct3330374551770706
9523361014414462
10120430441001414
113541129936a515
1211610287032232
1352277075c8c8b
1421a4c16075b5c
15ddca1373a0ae
hex6d87e5a7f1c6

120430441001414 has 96 divisors (see below), whose sum is σ = 188786660078016. Its totient is φ = 57610161930240.

The previous prime is 120430441001401. The next prime is 120430441001417. The reversal of 120430441001414 is 414100144034021.

It is a happy number.

It is a super-2 number, since 2×1204304410014142 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120430441001417) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43745164262 + ... + 43745167014.

It is an arithmetic number, because the mean of its divisors is an integer number (1966527709146).

Almost surely, 2120430441001414 is an apocalyptic number.

120430441001414 is a deficient number, since it is larger than the sum of its proper divisors (68356219076602).

120430441001414 is a wasteful number, since it uses less digits than its factorization.

120430441001414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3970 (or 3933 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 120430441001414 its reverse (414100144034021), we get a palindrome (534530585035435).

The spelling of 120430441001414 in words is "one hundred twenty trillion, four hundred thirty billion, four hundred forty-one million, one thousand, four hundred fourteen".

Divisors: 1 2 37 74 103 181 206 362 857 1369 1714 2738 2753 3811 5506 6697 7622 13394 18643 31709 37286 63418 88271 101861 141007 155117 176542 203722 247789 282014 283559 310234 495578 498293 567118 689791 996586 1173233 1379582 2346466 2359321 3266027 3768857 4718642 5739329 6532054 7537714 10491683 11478658 15977051 18436841 20983366 25522267 31954102 36873682 51044534 51324179 87294877 102648358 120842999 174589754 212355173 241685998 243010063 388192271 424710346 427037101 486020126 591150887 682163117 776384542 854074202 1182301774 1364326234 1898994623 3229910449 3797989246 6459820898 8991372331 15800372737 17982744662 21872582819 31600745474 43745165638 43984821403 70262801051 87969642806 140525602102 332680776247 584613791269 665361552494 1169227582538 1627438391911 3254876783822 60215220500707 120430441001414