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41215225440 = 2535563915227
BaseRepresentation
bin100110011000100111…
…100110111001100000
310221101100201101102010
4212120213212321200
51133402044203230
630533425152520
72656231431054
oct463047467140
9127340641363
1041215225440
111652aa13994
127ba2a8b740
133b6aa77b7c
141dcdb41c64
15111352d9b0
hex9989e6e60

41215225440 has 96 divisors (see below), whose sum is σ = 129859511040. Its totient is φ = 10988056064.

The previous prime is 41215225427. The next prime is 41215225489. The reversal of 41215225440 is 4452251214.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 41215225398 and 41215225407.

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, 2699107 + ... + 2714333.

It is an arithmetic number, because the mean of its divisors is an integer number (1352703240).

Almost surely, 241215225440 is an apocalyptic number.

41215225440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41215225440 is an abundant number, since it is smaller than the sum of its proper divisors (88644285600).

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

41215225440 is a wasteful number, since it uses less digits than its factorization.

41215225440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20884 (or 20876 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

Adding to 41215225440 its reverse (4452251214), we get a palindrome (45667476654).

The spelling of 41215225440 in words is "forty-one billion, two hundred fifteen million, two hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 5639 11278 15227 16917 22556 28195 30454 33834 45112 45681 56390 60908 67668 76135 84585 90224 91362 112780 121816 135336 152270 169170 180448 182724 225560 228405 243632 270672 304540 338340 365448 451120 456810 487264 541344 609080 676680 730896 902240 913620 1218160 1353360 1461792 1827240 2436320 2706720 3654480 7308960 85865053 171730106 257595159 343460212 429325265 515190318 686920424 858650530 1030380636 1287975795 1373840848 1717301060 2060761272 2575951590 2747681696 3434602120 4121522544 5151903180 6869204240 8243045088 10303806360 13738408480 20607612720 41215225440