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282442260640 = 2555929919731
BaseRepresentation
bin1000001110000101101…
…11101110000010100000
31000000000212221110021011
410013002313232002200
514111420204320030
6333430245510304
726256116414011
oct4070267560240
91000025843234
10282442260640
11a9868324901
12468a5412394
1320832418417
14d95535b008
157531065b2a
hex41c2dee0a0

282442260640 has 48 divisors (see below), whose sum is σ = 678579521760. Its totient is φ = 111062037760.

The previous prime is 282442260629. The next prime is 282442260697. The reversal of 282442260640 is 46062244282.

It is a super-3 number, since 3×2824422606403 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 282442260593 and 282442260602.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14950426 + ... + 14969305.

It is an arithmetic number, because the mean of its divisors is an integer number (14137073370).

Almost surely, 2282442260640 is an apocalyptic number.

282442260640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

282442260640 is an abundant number, since it is smaller than the sum of its proper divisors (396137261120).

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

282442260640 is a wasteful number, since it uses less digits than its factorization.

282442260640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29919805 (or 29919797 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 40.

The spelling of 282442260640 in words is "two hundred eighty-two billion, four hundred forty-two million, two hundred sixty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 59 80 118 160 236 295 472 590 944 1180 1888 2360 4720 9440 29919731 59839462 119678924 149598655 239357848 299197310 478715696 598394620 957431392 1196789240 1765264129 2393578480 3530528258 4787156960 7061056516 8826320645 14122113032 17652641290 28244226064 35305282580 56488452128 70610565160 141221130320 282442260640