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41290601360 = 2452979225287
BaseRepresentation
bin100110011101000111…
…001001001110010000
310221120121112212201212
4212131013021032100
51134030343220420
630545120515252
72661135214661
oct463507111620
9127517485655
1041290601360
1116569516a38
12800417bb28
133b805795c8
141dd9b63368
151119e6c3c5
hex99d1c9390

41290601360 has 80 divisors (see below), whose sum is σ = 100568563200. Its totient is φ = 15744787968.

The previous prime is 41290601357. The next prime is 41290601381. The reversal of 41290601360 is 6310609214.

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

It is a super-3 number, since 3×412906013603 (a number of 33 digits) contains 333 as substring.

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, 70637 + ... + 295923.

It is an arithmetic number, because the mean of its divisors is an integer number (1257107040).

Almost surely, 241290601360 is an apocalyptic number.

41290601360 is a gapful number since it is divisible by the number (40) 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 41290601360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50284281600).

41290601360 is an abundant number, since it is smaller than the sum of its proper divisors (59277961840).

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

41290601360 is a wasteful number, since it uses less digits than its factorization.

41290601360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225408 (or 225402 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The spelling of 41290601360 in words is "forty-one billion, two hundred ninety million, six hundred one thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 79 80 116 145 158 232 290 316 395 464 580 632 790 1160 1264 1580 2291 2320 3160 4582 6320 9164 11455 18328 22910 36656 45820 91640 183280 225287 450574 901148 1126435 1802296 2252870 3604592 4505740 6533323 9011480 13066646 17797673 18022960 26133292 32666615 35595346 52266584 65333230 71190692 88988365 104533168 130666460 142381384 177976730 261332920 284762768 355953460 516132517 522665840 711906920 1032265034 1423813840 2064530068 2580662585 4129060136 5161325170 8258120272 10322650340 20645300680 41290601360