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41104202240 = 295431812063
BaseRepresentation
bin100110010010000000…
…000101101000000000
310221002121210211012202
4212102000011220000
51133140133432430
630514421412332
72653412645213
oct462200055000
9127077724182
1041104202240
1116483283582
127b7186a0a8
133b50a74b7a
141dbd0c177a
1511088ecd45
hex992005a00

41104202240 has 160 divisors (see below), whose sum is σ = 101452006656. Its totient is φ = 15962849280.

The previous prime is 41104202231. The next prime is 41104202263. The reversal of 41104202240 is 4220240114.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19923449 + ... + 19925511.

Almost surely, 241104202240 is an apocalyptic number.

41104202240 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 41104202240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50726003328).

41104202240 is an abundant number, since it is smaller than the sum of its proper divisors (60347804416).

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

41104202240 is a wasteful number, since it uses less digits than its factorization.

41104202240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2310 (or 2294 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 41104202240 its reverse (4220240114), we get a palindrome (45324442354).

The spelling of 41104202240 in words is "forty-one billion, one hundred four million, two hundred two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 64 80 86 128 160 172 181 215 256 320 344 362 430 512 640 688 724 860 905 1280 1376 1448 1720 1810 2063 2560 2752 2896 3440 3620 4126 5504 5792 6880 7240 7783 8252 10315 11008 11584 13760 14480 15566 16504 20630 22016 23168 27520 28960 31132 33008 38915 41260 46336 55040 57920 62264 66016 77830 82520 88709 92672 110080 115840 124528 132032 155660 165040 177418 231680 249056 264064 311320 330080 354836 373403 443545 463360 498112 528128 622640 660160 709672 746806 887090 996224 1056256 1245280 1320320 1419344 1493612 1774180 1867015 1992448 2490560 2640640 2838688 2987224 3548360 3734030 3984896 4981120 5281280 5677376 5974448 7096720 7468060 9962240 11354752 11948896 14193440 14936120 16056329 19924480 22709504 23897792 28386880 29872240 32112658 45419008 47795584 56773760 59744480 64225316 80281645 95591168 113547520 119488960 128450632 160563290 191182336 227095040 238977920 256901264 321126580 477955840 513802528 642253160 955911680 1027605056 1284506320 2055210112 2569012640 4110420224 5138025280 8220840448 10276050560 20552101120 41104202240