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1455300052000 = 255319129973
BaseRepresentation
bin10101001011010110101…
…001001000010000100000
312011010101100210111121221
4111023112221020100200
5142320423303131000
63032320002424424
7210066456224314
oct25132651102040
95133340714557
101455300052000
11511209a37903
121b6069062114
13a7307720b32
1450618bc5b44
1527cc7e7a61a
hex152d6a48420

1455300052000 has 144 divisors (see below), whose sum is σ = 3594851461656. Its totient is φ = 579014208000.

The previous prime is 1455300051913. The next prime is 1455300052009. The reversal of 1455300052000 is 2500035541.

It can be written as a sum of positive squares in 4 ways, for example, as 178499490064 + 1276800561936 = 422492^2 + 1129956^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (1455300052009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145919014 + ... + 145928986.

Almost surely, 21455300052000 is an apocalyptic number.

1455300052000 is a gapful number since it is divisible by the number (10) 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 1455300052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1797425730828).

1455300052000 is an abundant number, since it is smaller than the sum of its proper divisors (2139551409656).

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

1455300052000 is an frugal number, since it uses more digits than its factorization.

1455300052000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10380 (or 10171 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

Adding to 1455300052000 its reverse (2500035541), we get a palindrome (1457800087541).

The spelling of 1455300052000 in words is "one trillion, four hundred fifty-five billion, three hundred million, fifty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 191 200 250 382 400 500 764 800 955 1000 1528 1910 2000 3056 3820 4000 4775 6112 7640 9550 9973 15280 19100 19946 23875 30560 36481 38200 39892 47750 49865 72962 76400 79784 95500 99730 145924 152800 159568 182405 191000 199460 249325 291848 319136 364810 382000 398920 498650 583696 729620 764000 797840 912025 997300 1167392 1246625 1459240 1595680 1824050 1904843 1994600 2493250 2918480 3648100 3809686 3989200 4560125 4986500 5836960 7296200 7619372 7978400 9120250 9524215 9973000 14592400 15238744 18240500 19048430 19946000 29184800 30477488 36481000 38096860 39892000 47621075 60954976 72962000 76193720 95242150 145924000 152387440 190484300 238105375 304774880 363825013 380968600 476210750 727650026 761937200 952421500 1455300052 1523874400 1819125065 1904843000 2910600104 3638250130 3809686000 5821200208 7276500260 7619372000 9095625325 11642400416 14553000520 18191250650 29106001040 36382501300 45478126625 58212002080 72765002600 90956253250 145530005200 181912506500 291060010400 363825013000 727650026000 1455300052000