Search a number
-
+
40411685424 = 24311417012663
BaseRepresentation
bin100101101000101110…
…010110001000110000
310212022100201022201210
4211220232112020300
51130230342413144
630322002400120
72630303441565
oct455056261060
9125270638653
1040411685424
1116158385430
1279b9960040
133a704558c6
141d5513486c
1510b7c07ab9
hex968b96230

40411685424 has 160 divisors (see below), whose sum is σ = 116875519488. Its totient is φ = 11925760000.

The previous prime is 40411685417. The next prime is 40411685429. The reversal of 40411685424 is 42458611404.

It is not an unprimeable number, because it can be changed into a prime (40411685429) 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, 15173917 + ... + 15176579.

Almost surely, 240411685424 is an apocalyptic number.

40411685424 is a gapful number since it is divisible by the number (44) 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 40411685424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58437759744).

40411685424 is an abundant number, since it is smaller than the sum of its proper divisors (76463834064).

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

40411685424 is a wasteful number, since it uses less digits than its factorization.

40411685424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3427 (or 3421 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The spelling of 40411685424 in words is "forty billion, four hundred eleven million, six hundred eighty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 41 44 48 66 82 88 123 132 164 176 246 264 328 451 492 528 656 701 902 984 1353 1402 1804 1968 2103 2663 2706 2804 3608 4206 5326 5412 5608 7216 7711 7989 8412 10652 10824 11216 15422 15978 16824 21304 21648 23133 28741 29293 30844 31956 33648 42608 46266 57482 58586 61688 63912 86223 87879 92532 109183 114964 117172 123376 127824 172446 175758 185064 218366 229928 234344 316151 327549 344892 351516 370128 436732 459856 468688 632302 655098 689784 703032 873464 948453 1201013 1264604 1310196 1379568 1406064 1746928 1866763 1896906 2402026 2529208 2620392 3603039 3733526 3793812 4804052 5058416 5240784 5600289 7206078 7467052 7587624 9608104 11200578 14412156 14934104 15175248 19216208 20534393 22401156 28824312 29868208 41068786 44802312 57648624 61603179 76537283 82137572 89604624 123206358 153074566 164275144 229611849 246412716 306149132 328550288 459223698 492825432 612298264 841910113 918447396 985650864 1224596528 1683820226 1836894792 2525730339 3367640452 3673789584 5051460678 6735280904 10102921356 13470561808 20205842712 40411685424