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41432051040 = 2535109791897
BaseRepresentation
bin100110100101100010…
…101110110101100000
310221221110201021012220
4212211202232311200
51134323101113130
631011132351040
72664503423502
oct464542566540
9127843637186
1041432051040
11166313491a6
128043615480
133ba3973743
142010863d72
1511275ad410
hex9a58aed60

41432051040 has 96 divisors (see below), whose sum is σ = 131708475360. Its totient is φ = 10947170304.

The previous prime is 41432051021. The next prime is 41432051051. The reversal of 41432051040 is 4015023414.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×414320510402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 41432051040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 343629 + ... + 448268.

It is an arithmetic number, because the mean of its divisors is an integer number (1371963285).

Almost surely, 241432051040 is an apocalyptic number.

41432051040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41432051040 is an abundant number, since it is smaller than the sum of its proper divisors (90276424320).

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

41432051040 is a wasteful number, since it uses less digits than its factorization.

41432051040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792024 (or 792016 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 41432051040 its reverse (4015023414), we get a palindrome (45447074454).

The spelling of 41432051040 in words is "forty-one billion, four hundred thirty-two million, fifty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 109 120 160 218 240 327 436 480 545 654 872 1090 1308 1635 1744 2180 2616 3270 3488 4360 5232 6540 8720 10464 13080 17440 26160 52320 791897 1583794 2375691 3167588 3959485 4751382 6335176 7918970 9502764 11878455 12670352 15837940 19005528 23756910 25340704 31675880 38011056 47513820 63351760 76022112 86316773 95027640 126703520 172633546 190055280 258950319 345267092 380110560 431583865 517900638 690534184 863167730 1035801276 1294751595 1381068368 1726335460 2071602552 2589503190 2762136736 3452670920 4143205104 5179006380 6905341840 8286410208 10358012760 13810683680 20716025520 41432051040