Search a number
-
+
5354231242400 = 25528975199877
BaseRepresentation
bin100110111101010000100…
…0011010001111010100000
3200221212012120200201011122
41031322201003101322200
51200210431144224100
615215411101231412
71061554561433105
oct115724103217240
920855176621148
105354231242400
111784797a51957
12725829262568
132cab95459c01
14147209164aac
1594420e76985
hex4dea10d1ea0

5354231242400 has 72 divisors (see below), whose sum is σ = 13217882556060. Its totient is φ = 2117628508160.

The previous prime is 5354231242387. The next prime is 5354231242429. The reversal of 5354231242400 is 42421324535.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1226361337744 + 4127869904656 = 1107412^2 + 2031716^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 37528739 + ... + 37671138.

Almost surely, 25354231242400 is an apocalyptic number.

5354231242400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5354231242400 is an abundant number, since it is smaller than the sum of its proper divisors (7863651313660).

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

5354231242400 is a wasteful number, since it uses less digits than its factorization.

5354231242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75199986 (or 75199973 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

Adding to 5354231242400 its reverse (42421324535), we get a palindrome (5396652566935).

The spelling of 5354231242400 in words is "five trillion, three hundred fifty-four billion, two hundred thirty-one million, two hundred forty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 89 100 160 178 200 356 400 445 712 800 890 1424 1780 2225 2848 3560 4450 7120 8900 14240 17800 35600 71200 75199877 150399754 300799508 375999385 601599016 751998770 1203198032 1503997540 1879996925 2406396064 3007995080 3759993850 6015990160 6692789053 7519987700 12031980320 13385578106 15039975400 26771156212 30079950800 33463945265 53542312424 60159901600 66927890530 107084624848 133855781060 167319726325 214169249696 267711562120 334639452650 535423124240 669278905300 1070846248480 1338557810600 2677115621200 5354231242400