Search a number
-
+
40999367760 = 243513104912527
BaseRepresentation
bin100110001011110000…
…001011010001010000
310220211022112200100020
4212023300023101100
51132431314232020
630500154423440
72651000606301
oct461360132120
9126738480306
1040999367760
111642a08a90a
127b42731b80
133b3512aa30
141dad1d27a8
1510ee5e0c40
hex98bc0b450

40999367760 has 160 divisors (see below), whose sum is σ = 137016230400. Its totient is φ = 10081726464.

The previous prime is 40999367749. The next prime is 40999367771. The reversal of 40999367760 is 6776399904.

It is an interprime number because it is at equal distance from previous prime (40999367749) and next prime (40999367771).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 40999367694 and 40999367703.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3266617 + ... + 3279143.

It is an arithmetic number, because the mean of its divisors is an integer number (856351440).

Almost surely, 240999367760 is an apocalyptic number.

40999367760 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 40999367760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68508115200).

40999367760 is an abundant number, since it is smaller than the sum of its proper divisors (96016862640).

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

40999367760 is a wasteful number, since it uses less digits than its factorization.

40999367760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13605 (or 13599 counting only the distinct ones).

The product of its (nonzero) digits is 15431472, while the sum is 60.

It can be divided in two parts, 409993 and 67760, that added together give a triangular number (477753 = T977).

The spelling of 40999367760 in words is "forty billion, nine hundred ninety-nine million, three hundred sixty-seven thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1049 1560 2098 3120 3147 4196 5245 6294 8392 10490 12527 12588 13637 15735 16784 20980 25054 25176 27274 31470 37581 40911 41960 50108 50352 54548 62635 62940 68185 75162 81822 83920 100216 109096 125270 125880 136370 150324 162851 163644 187905 200432 204555 218192 250540 251760 272740 300648 325702 327288 375810 409110 488553 501080 545480 601296 651404 654576 751620 814255 818220 977106 1002160 1090960 1302808 1503240 1628510 1636440 1954212 2442765 2605616 3006480 3257020 3272880 3908424 4885530 6514040 7816848 9771060 13028080 13140823 19542120 26281646 39084240 39422469 52563292 65704115 78844938 105126584 131408230 157689876 170830699 197112345 210253168 262816460 315379752 341661398 394224690 512492097 525632920 630759504 683322796 788449380 854153495 1024984194 1051265840 1366645592 1576898760 1708306990 2049968388 2562460485 2733291184 3153797520 3416613980 4099936776 5124920970 6833227960 8199873552 10249841940 13666455920 20499683880 40999367760