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41350020400 = 24521350315809
BaseRepresentation
bin100110100000101001…
…110011110100110000
310221201202100200100001
4212200221303310300
51134141101123100
630555042235344
72662456242223
oct464051636460
9127652320301
1041350020400
111659a010387
128020055b54
133b8c981cc0
1420039cd5ba
1511202a7d6a
hex9a0a73d30

41350020400 has 120 divisors (see below), whose sum is σ = 107204700960. Its totient is φ = 15236382720.

The previous prime is 41350020373. The next prime is 41350020401. The reversal of 41350020400 is 402005314.

It is not an unprimeable number, because it can be changed into a prime (41350020401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2607696 + ... + 2623504.

It is an arithmetic number, because the mean of its divisors is an integer number (893372508).

Almost surely, 241350020400 is an apocalyptic number.

41350020400 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 41350020400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53602350480).

41350020400 is an abundant number, since it is smaller than the sum of its proper divisors (65854680560).

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

41350020400 is a wasteful number, since it uses less digits than its factorization.

41350020400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16343 (or 16332 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

Adding to 41350020400 its reverse (402005314), we get a palindrome (41752025714).

The spelling of 41350020400 in words is "forty-one billion, three hundred fifty million, twenty thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 200 208 260 325 400 503 520 650 1006 1040 1300 2012 2515 2600 4024 5030 5200 6539 8048 10060 12575 13078 15809 20120 25150 26156 31618 32695 40240 50300 52312 63236 65390 79045 100600 104624 126472 130780 158090 163475 201200 205517 252944 261560 316180 326950 395225 411034 523120 632360 653900 790450 822068 1027585 1264720 1307800 1580900 1644136 2055170 2615600 3161800 3288272 4110340 5137925 6323600 7951927 8220680 10275850 15903854 16441360 20551700 31807708 39759635 41103400 63615416 79519270 82206800 103375051 127230832 159038540 198798175 206750102 318077080 397596350 413500204 516875255 636154160 795192700 827000408 1033750510 1590385400 1654000816 2067501020 2584376275 3180770800 4135002040 5168752550 8270004080 10337505100 20675010200 41350020400