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542144104000 = 2653169939887
BaseRepresentation
bin1111110001110100100…
…11101000011001000000
31220211100221210000111021
413320322103220121000
532340302342312000
61053020233355224
754111556564252
oct7707223503100
91824327700437
10542144104000
11199a16238614
12890a2b68b14
133c17c490a15
141c35047bcd2
15e18099511a
hex7e3a4e8640

542144104000 has 112 divisors (see below), whose sum is σ = 1343443795200. Its totient is φ = 216724569600.

The previous prime is 542144103901. The next prime is 542144104001. The reversal of 542144104000 is 401441245.

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 (542144104001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13572057 + ... + 13611943.

Almost surely, 2542144104000 is an apocalyptic number.

542144104000 is a gapful number since it is divisible by the number (50) 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 542144104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671721897600).

542144104000 is an abundant number, since it is smaller than the sum of its proper divisors (801299691200).

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

542144104000 is a wasteful number, since it uses less digits than its factorization.

542144104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41613 (or 41593 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 542144104000 its reverse (401441245), we get a palindrome (542545545245).

The spelling of 542144104000 in words is "five hundred forty-two billion, one hundred forty-four million, one hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 1000 1600 1699 2000 3398 4000 6796 8000 8495 13592 16990 27184 33980 39887 42475 54368 67960 79774 84950 108736 135920 159548 169900 199435 212375 271840 319096 339800 398870 424750 543680 638192 679600 797740 849500 997175 1276384 1359200 1595480 1699000 1994350 2552768 2718400 3190960 3398000 3988700 4985875 6381920 6796000 7977400 9971750 12763840 13592000 15954800 19943500 31909600 39887000 63819200 67768013 79774000 135536026 159548000 271072052 319096000 338840065 542144104 677680130 1084288208 1355360260 1694200325 2168576416 2710720520 3388400650 4337152832 5421441040 6776801300 8471001625 10842882080 13553602600 16942003250 21685764160 27107205200 33884006500 54214410400 67768013000 108428820800 135536026000 271072052000 542144104000