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41135361340 = 22531163491829
BaseRepresentation
bin100110010011110110…
…111100110100111100
310221011210102212110111
4212103312330310330
51133221123030330
630521453315404
72654241542113
oct462366746474
9127153385414
1041135361340
11164999258a7
127b80195b64
133b573645c8
141dc32b2c7a
15110b50532a
hex993dbcd3c

41135361340 has 96 divisors (see below), whose sum is σ = 90009077760. Its totient is φ = 15774393600.

The previous prime is 41135361331. The next prime is 41135361349. The reversal of 41135361340 is 4316353114.

It is an interprime number because it is at equal distance from previous prime (41135361331) and next prime (41135361349).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41135361349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49620046 + ... + 49620874.

It is an arithmetic number, because the mean of its divisors is an integer number (937594560).

Almost surely, 241135361340 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 41135361340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45004538880).

41135361340 is an abundant number, since it is smaller than the sum of its proper divisors (48873716420).

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

41135361340 is a wasteful number, since it uses less digits than its factorization.

41135361340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1523 (or 1521 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The spelling of 41135361340 in words is "forty-one billion, one hundred thirty-five million, three hundred sixty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 31 62 124 155 163 310 326 491 620 652 815 829 982 1630 1658 1964 2455 3260 3316 4145 4910 5053 8290 9820 10106 15221 16580 20212 25265 25699 30442 50530 51398 60884 76105 80033 101060 102796 128495 135127 152210 160066 256990 270254 304420 320132 400165 407039 513980 540508 675635 800330 814078 1351270 1600660 1628156 2035195 2481023 2702540 4070390 4188937 4962046 8140780 8377874 9924092 12405115 12618209 16755748 20944685 24810230 25236418 41889370 49620460 50472836 63091045 66347357 83778740 126182090 132694714 252364180 265389428 331736785 663473570 1326947140 2056768067 4113536134 8227072268 10283840335 20567680670 41135361340