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41241414432 = 2537139715241
BaseRepresentation
bin100110011010001011…
…100000101100100000
310221110011222220221210
4212122023200230200
51133430300230212
630540202350120
72660000144601
oct463213405440
9127404886853
1041241414432
1116543781089
127bab7bb340
133b7331730a
141dd33dbda8
1511159a353c
hex99a2e0b20

41241414432 has 96 divisors (see below), whose sum is σ = 110067237504. Its totient is φ = 13518489600.

The previous prime is 41241414419. The next prime is 41241414443. The reversal of 41241414432 is 23441414214.

It is a happy number.

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

It is a super-4 number, since 4×412414144324 (a number of 44 digits) contains 4444 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 41241414432.

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, 2698332 + ... + 2713572.

It is an arithmetic number, because the mean of its divisors is an integer number (1146533724).

Almost surely, 241241414432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41241414432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55033618752).

41241414432 is an abundant number, since it is smaller than the sum of its proper divisors (68825823072).

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

41241414432 is a wasteful number, since it uses less digits than its factorization.

41241414432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15722 (or 15714 counting only the distinct ones).

The product of its digits is 12288, while the sum is 30.

Adding to 41241414432 its reverse (23441414214), we get a palindrome (64682828646).

The spelling of 41241414432 in words is "forty-one billion, two hundred forty-one million, four hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 71 96 142 213 284 397 426 568 794 852 1136 1191 1588 1704 2272 2382 3176 3408 4764 6352 6816 9528 12704 15241 19056 28187 30482 38112 45723 56374 60964 84561 91446 112748 121928 169122 182892 225496 243856 338244 365784 450992 487712 676488 731568 901984 1082111 1352976 1463136 2164222 2705952 3246333 4328444 6050677 6492666 8656888 12101354 12985332 17313776 18152031 24202708 25970664 34627552 36304062 48405416 51941328 72608124 96810832 103882656 145216248 193621664 290432496 429598067 580864992 859196134 1288794201 1718392268 2577588402 3436784536 5155176804 6873569072 10310353608 13747138144 20620707216 41241414432