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215041233040 = 24519361722573
BaseRepresentation
bin1100100001000101110…
…1001101000010010000
3202120001121000111021121
43020101131031002100
512010401023424130
6242442155532024
721351631215244
oct3102135150220
9676047014247
10215041233040
1183220196207
1235814a5a014
131738057407a
14a59d99a424
1558d8bd0d7a
hex321174d090

215041233040 has 80 divisors (see below), whose sum is σ = 503398213488. Its totient is φ = 85428338688.

The previous prime is 215041232971. The next prime is 215041233079. The reversal of 215041233040 is 40332140512.

It can be written as a sum of positive squares in 8 ways, for example, as 108141007104 + 106900225936 = 328848^2 + 326956^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 215041232996 and 215041233014.

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, 9515194 + ... + 9537766.

Almost surely, 2215041233040 is an apocalyptic number.

215041233040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

215041233040 is an abundant number, since it is smaller than the sum of its proper divisors (288356980448).

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

215041233040 is a wasteful number, since it uses less digits than its factorization.

215041233040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23396 (or 23390 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 215041233040 its reverse (40332140512), we get a palindrome (255373373552).

The spelling of 215041233040 in words is "two hundred fifteen billion, forty-one million, two hundred thirty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 193 386 617 772 965 1234 1544 1930 2468 3085 3088 3860 4936 6170 7720 9872 12340 15440 22573 24680 45146 49360 90292 112865 119081 180584 225730 238162 361168 451460 476324 595405 902920 952648 1190810 1805840 1905296 2381620 4356589 4763240 8713178 9526480 13927541 17426356 21782945 27855082 34852712 43565890 55710164 69637705 69705424 87131780 111420328 139275410 174263560 222840656 278550820 348527120 557101640 1114203280 2688015413 5376030826 10752061652 13440077065 21504123304 26880154130 43008246608 53760308260 107520616520 215041233040