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41254053204240 = 2432557297296117
BaseRepresentation
bin10010110000101001101010…
…01011111101000100010000
312102001211220220021101212100
421120110311023331010100
520401401300110013430
6223423503404400400
711455335616310352
oct1130246513750420
9172054826241770
1041254053204240
11121658225a7588
12476338ab46100
131a03318581596
14a289c77770d2
154b81a5031960
hex2585352fd110

41254053204240 has 60 divisors (see below), whose sum is σ = 138544862013324. Its totient is φ = 11001080854272.

The previous prime is 41254053204227. The next prime is 41254053204251. The reversal of 41254053204240 is 4240235045214.

41254053204240 is a `hidden beast` number, since 4 + 1 + 2 + 5 + 40 + 532 + 0 + 42 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4574653656336 + 36679399547904 = 2138844^2 + 6056352^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×412540532042402 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 41254053204195 and 41254053204204.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28648647339 + ... + 28648648778.

Almost surely, 241254053204240 is an apocalyptic number.

41254053204240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41254053204240 is an abundant number, since it is smaller than the sum of its proper divisors (97290808809084).

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

41254053204240 is a wasteful number, since it uses less digits than its factorization.

41254053204240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57297296136 (or 57297296127 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

Adding to 41254053204240 its reverse (4240235045214), we get a palindrome (45494288249454).

The spelling of 41254053204240 in words is "forty-one trillion, two hundred fifty-four billion, fifty-three million, two hundred four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 57297296117 114594592234 171891888351 229189184468 286486480585 343783776702 458378368936 515675665053 572972961170 687567553404 859459441755 916756737872 1031351330106 1145945922340 1375135106808 1718918883510 2062702660212 2291891844680 2578378325265 2750270213616 3437837767020 4125405320424 4583783689360 5156756650530 6875675534040 8250810640848 10313513301060 13751351068080 20627026602120 41254053204240