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153453302304144 = 24310335149883049
BaseRepresentation
bin100010111001000010100001…
…100100101100110110010000
3202010022222210111000001011020
4202321002201210230312100
5130103134330342213034
61302211250205115440
744215430612054223
oct4271024144546620
9663288714001136
10153453302304144
11449931a86a4367
1215264340558b80
136781779984b8b
1429c72726215ba
1512b1a14cbc249
hex8b90a192cd90

153453302304144 has 80 divisors (see below), whose sum is σ = 400281619920000. Its totient is φ = 50652989641728.

The previous prime is 153453302304143. The next prime is 153453302304149. The reversal of 153453302304144 is 441403203354351.

It is a junction number, because it is equal to n+sod(n) for n = 153453302304096 and 153453302304105.

It is not an unprimeable number, because it can be changed into a prime (153453302304143) 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 15 ways as a sum of consecutive naturals, for example, 173335132 + ... + 174218180.

It is an arithmetic number, because the mean of its divisors is an integer number (5003520249000).

Almost surely, 2153453302304144 is an apocalyptic number.

It is an amenable number.

153453302304144 is an abundant number, since it is smaller than the sum of its proper divisors (246828317615856).

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

153453302304144 is a wasteful number, since it uses less digits than its factorization.

153453302304144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918312 (or 918306 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 42.

Adding to 153453302304144 its reverse (441403203354351), we get a palindrome (594856505658495).

The spelling of 153453302304144 in words is "one hundred fifty-three trillion, four hundred fifty-three billion, three hundred two million, three hundred four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 103 206 309 412 618 824 1236 1648 2472 4944 35149 70298 105447 140596 210894 281192 421788 562384 843576 883049 1687152 1766098 2649147 3532196 3620347 5298294 7064392 7240694 10596588 10861041 14128784 14481388 21193176 21722082 28962776 42386352 43444164 57925552 86888328 90954047 173776656 181908094 272862141 363816188 545724282 727632376 1091448564 1455264752 2182897128 4365794256 31038289301 62076578602 93114867903 124153157204 186229735806 248306314408 372459471612 496612628816 744918943224 1489837886448 3196943798003 6393887596006 9590831394009 12787775192012 19181662788018 25575550384024 38363325576036 51151100768048 76726651152072 153453302304144