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126430142553 = 321113177379159
BaseRepresentation
bin111010110111111010…
…0101110000001011001
3110002100010121200211100
41311233310232001121
54032412104030203
6134025312422013
712064025323461
oct1655764560131
9402303550740
10126430142553
1149689579420
1220605247909
13bbcb419550
146195324ba1
15344e757ea3
hex1d6fd2e059

126430142553 has 96 divisors (see below), whose sum is σ = 230283406080. Its totient is φ = 65656811520.

The previous prime is 126430142521. The next prime is 126430142599. The reversal of 126430142553 is 355241034621.

126430142553 is a `hidden beast` number, since 1 + 2 + 64 + 3 + 0 + 1 + 42 + 553 = 666.

It is not a de Polignac number, because 126430142553 - 25 = 126430142521 is a prime.

It is not an unprimeable number, because it can be changed into a prime (126430142653) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1557588 + ... + 1636746.

It is an arithmetic number, because the mean of its divisors is an integer number (2398785480).

Almost surely, 2126430142553 is an apocalyptic number.

126430142553 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

126430142553 is a deficient number, since it is larger than the sum of its proper divisors (103853263527).

126430142553 is a wasteful number, since it uses less digits than its factorization.

126430142553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79279 (or 79276 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 126430142553 in words is "one hundred twenty-six billion, four hundred thirty million, one hundred forty-two thousand, five hundred fifty-three".

Divisors: 1 3 9 11 13 17 33 39 51 73 99 117 143 153 187 219 221 429 561 657 663 803 949 1241 1287 1683 1989 2409 2431 2847 3723 7227 7293 8541 10439 11169 13651 16133 21879 31317 40953 48399 79159 93951 122859 145197 177463 237477 532389 712431 870749 1029067 1345703 1597167 2612247 3087201 4037109 5778607 7836741 9261603 11319737 12111327 14802733 17335821 17494139 33959211 44408199 52007463 52482417 63564677 75121891 98236319 101877633 133224597 157447251 190694031 192435529 225365673 294708957 572082093 577306587 676097019 826340801 884126871 1080599509 1277072147 1731919761 2479022403 3241798527 3831216441 7437067209 9725395581 11493649323 14047793617 42143380851 126430142553