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153264321204144 = 24331144117147333
BaseRepresentation
bin100010110110010010100001…
…011011000000111110110000
3202002122221000001201110211020
4202312102201123000332300
5130042040312212013034
61301544353540215440
744165660520161133
oct4266224133007660
9662587001643736
10153264321204144
11449200407aa897
121523379b09a580
1367699c0479b97
1429bc065b3021a
1512abb53dbc249
hex8b64a16c0fb0

153264321204144 has 80 divisors (see below), whose sum is σ = 408733274348544. Its totient is φ = 49436665977600.

The previous prime is 153264321204101. The next prime is 153264321204157. The reversal of 153264321204144 is 441402123462351.

It is a junction number, because it is equal to n+sod(n) for n = 153264321204096 and 153264321204105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17869902 + ... + 25017234.

Almost surely, 2153264321204144 is an apocalyptic number.

It is an amenable number.

153264321204144 is an abundant number, since it is smaller than the sum of its proper divisors (255468953144400).

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

153264321204144 is a wasteful number, since it uses less digits than its factorization.

153264321204144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7161786 (or 7161780 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 42.

Adding to 153264321204144 its reverse (441402123462351), we get a palindrome (594666444666495).

The spelling of 153264321204144 in words is "one hundred fifty-three trillion, two hundred sixty-four billion, three hundred twenty-one million, two hundred four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 1488 14411 28822 43233 57644 86466 115288 172932 230576 345864 446741 691728 893482 1340223 1786964 2680446 3573928 5360892 7147333 7147856 10721784 14294666 21441999 21443568 28589332 42883998 57178664 85767996 114357328 171535992 221567323 343071984 443134646 664701969 886269292 1329403938 1772538584 2658807876 3545077168 5317615752 10635231504 103000215863 206000431726 309000647589 412000863452 618001295178 824001726904 1236002590356 1648003453808 2472005180712 3193006691753 4944010361424 6386013383506 9579020075259 12772026767012 19158040150518 25544053534024 38316080301036 51088107068048 76632160602072 153264321204144