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41310693480 = 23357463106219
BaseRepresentation
bin100110011110010011…
…110010100001101000
310221122000100122221110
4212132103302201220
51134101014142410
630551115310320
72661501046410
oct463623624150
9127560318843
1041310693480
111657989a4a1
12800aa4b3a0
133b84792934
141ddc6b3640
15111bada720
hex99e4f2868

41310693480 has 128 divisors (see below), whose sum is σ = 141943910400. Its totient is φ = 9421961472.

The previous prime is 41310693469. The next prime is 41310693493. The reversal of 41310693480 is 8439601314.

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 31 ways as a sum of consecutive naturals, for example, 335811 + ... + 442029.

It is an arithmetic number, because the mean of its divisors is an integer number (1108936800).

Almost surely, 241310693480 is an apocalyptic number.

41310693480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41310693480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70971955200).

41310693480 is an abundant number, since it is smaller than the sum of its proper divisors (100633216920).

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

41310693480 is a wasteful number, since it uses less digits than its factorization.

41310693480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106703 (or 106699 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The spelling of 41310693480 in words is "forty-one billion, three hundred ten million, six hundred ninety-three thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 463 840 926 1389 1852 2315 2778 3241 3704 4630 5556 6482 6945 9260 9723 11112 12964 13890 16205 18520 19446 25928 27780 32410 38892 48615 55560 64820 77784 97230 106219 129640 194460 212438 318657 388920 424876 531095 637314 743533 849752 1062190 1274628 1487066 1593285 2124380 2230599 2549256 2974132 3186570 3717665 4248760 4461198 5948264 6373140 7435330 8922396 11152995 12746280 14870660 17844792 22305990 29741320 44611980 49179397 89223960 98358794 147538191 196717588 245896985 295076382 344255779 393435176 491793970 590152764 688511558 737690955 983587940 1032767337 1180305528 1377023116 1475381910 1721278895 1967175880 2065534674 2754046232 2950763820 3442557790 4131069348 5163836685 5901527640 6885115580 8262138696 10327673370 13770231160 20655346740 41310693480