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41436007284 = 22374136732783
BaseRepresentation
bin100110100101110001…
…110100101101110100
310221221202011021011110
4212211301310231310
51134330104213114
631011353235020
72664552151650
oct464561645564
9127852137143
1041436007284
1116633600621
128044a02a70
133ba472a409
1420111b3a60
151127ae0759
hex9a5c74b74

41436007284 has 96 divisors (see below), whose sum is σ = 113502928896. Its totient is φ = 11518283520.

The previous prime is 41436007271. The next prime is 41436007339. The reversal of 41436007284 is 48270063414.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1247557 + ... + 1280339.

It is an arithmetic number, because the mean of its divisors is an integer number (1182322176).

Almost surely, 241436007284 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 41436007284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56751464448).

41436007284 is an abundant number, since it is smaller than the sum of its proper divisors (72066921612).

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

41436007284 is a wasteful number, since it uses less digits than its factorization.

41436007284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33205 (or 33203 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The spelling of 41436007284 in words is "forty-one billion, four hundred thirty-six million, seven thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 82 84 123 164 246 287 367 492 574 734 861 1101 1148 1468 1722 2202 2569 3444 4404 5138 7707 10276 15047 15414 30094 30828 32783 45141 60188 65566 90282 98349 105329 131132 180564 196698 210658 229481 315987 393396 421316 458962 631974 688443 917924 1263948 1344103 1376886 2688206 2753772 4032309 5376412 8064618 9408721 12031361 16129236 18817442 24062722 28226163 36094083 37634884 48125444 56452326 72188166 84219527 112904652 144376332 168439054 252658581 336878108 493285801 505317162 986571602 1010634324 1479857403 1973143204 2959714806 3453000607 5919429612 6906001214 10359001821 13812002428 20718003642 41436007284