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42453544120 = 235131013072633
BaseRepresentation
bin100111100010011011…
…011010110010111000
311001120122211111021221
4213202123122302320
51143421101402440
631300342441424
73032016112441
oct474233326270
9131518744257
1042453544120
1117005a12059
128289733274
134007497810
1420aa3a82c8
1511870d7d4a
hex9e26dacb8

42453544120 has 128 divisors (see below), whose sum is σ = 104264677440. Its totient is φ = 15463526400.

The previous prime is 42453544073. The next prime is 42453544123. The reversal of 42453544120 is 2144535424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42453544123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16122324 + ... + 16124956.

Almost surely, 242453544120 is an apocalyptic number.

42453544120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42453544120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52132338720).

42453544120 is an abundant number, since it is smaller than the sum of its proper divisors (61811133320).

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

42453544120 is a wasteful number, since it uses less digits than its factorization.

42453544120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3065 (or 3061 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 34.

The spelling of 42453544120 in words is "forty-two billion, four hundred fifty-three million, five hundred forty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 101 104 130 202 260 307 404 505 520 614 808 1010 1228 1313 1535 2020 2456 2626 2633 3070 3991 4040 5252 5266 6140 6565 7982 10504 10532 12280 13130 13165 15964 19955 21064 26260 26330 31007 31928 34229 39910 52520 52660 62014 68458 79820 105320 124028 136916 155035 159640 171145 248056 265933 273832 310070 342290 403091 531866 620140 684580 806182 808331 1063732 1240280 1329665 1369160 1612364 1616662 2015455 2127464 2659330 3224728 3233324 3457129 4030910 4041655 5318660 6466648 6914258 8061820 8083310 10508303 10637320 13828516 16123640 16166620 17285645 21016606 27657032 32333240 34571290 42033212 52541515 69142580 81641431 84066424 105083030 138285160 163282862 210166060 326565724 408207155 420332120 653131448 816414310 1061338603 1632828620 2122677206 3265657240 4245354412 5306693015 8490708824 10613386030 21226772060 42453544120