Search a number
-
+
41040540240 = 2435748775009
BaseRepresentation
bin100110001110001101…
…001111001001010000
310220221012000110100220
4212032031033021100
51133022334241430
630504225113040
72652010556550
oct461615171120
9126835013326
1041040540240
1116450351357
127b54488780
133b4081514b
141db486d160
151103025110
hex98e34f250

41040540240 has 160 divisors (see below), whose sum is σ = 145459618560. Its totient is φ = 9376899072.

The previous prime is 41040540239. The next prime is 41040540253. The reversal of 41040540240 is 4204504014.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 41040540240.

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, 8190856 + ... + 8195864.

It is an arithmetic number, because the mean of its divisors is an integer number (909122616).

Almost surely, 241040540240 is an apocalyptic number.

41040540240 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 41040540240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72729809280).

41040540240 is an abundant number, since it is smaller than the sum of its proper divisors (104419078320).

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

41040540240 is a wasteful number, since it uses less digits than its factorization.

41040540240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9909 (or 9903 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The spelling of 41040540240 in words is "forty-one billion, forty million, five hundred forty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 4877 5009 9754 10018 14631 15027 19508 20036 24385 25045 29262 30054 34139 35063 39016 40072 48770 50090 58524 60108 68278 70126 73155 75135 78032 80144 97540 100180 102417 105189 117048 120216 136556 140252 146310 150270 170695 175315 195080 200360 204834 210378 234096 240432 273112 280504 292620 300540 341390 350630 390160 400720 409668 420756 512085 525945 546224 561008 585240 601080 682780 701260 819336 841512 1024170 1051890 1170480 1202160 1365560 1402520 1638672 1683024 2048340 2103780 2731120 2805040 4096680 4207560 8193360 8415120 24428893 48857786 73286679 97715572 122144465 146573358 171002251 195431144 244288930 293146716 342004502 366433395 390862288 488577860 513006753 586293432 684009004 732866790 855011255 977155720 1026013506 1172586864 1368018008 1465733580 1710022510 1954311440 2052027012 2565033765 2736036016 2931467160 3420045020 4104054024 5130067530 5862934320 6840090040 8208108048 10260135060 13680180080 20520270120 41040540240