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41340240200 = 23527139212437
BaseRepresentation
bin100110100000000100…
…100000000101001000
310221201001221210102102
4212200010200011020
51134131100141300
630554052452532
72662310146430
oct464004400510
9127631853372
1041340240200
1116594540376
12801891a148
133b8a9394bc
1420025a52c0
15111e4c50d5
hex9a0120148

41340240200 has 96 divisors (see below), whose sum is σ = 110637710400. Its totient is φ = 14071760640.

The previous prime is 41340240197. The next prime is 41340240211. The reversal of 41340240200 is 204204314.

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 23 ways as a sum of consecutive naturals, for example, 88382 + ... + 300818.

It is an arithmetic number, because the mean of its divisors is an integer number (1152476150).

Almost surely, 241340240200 is an apocalyptic number.

41340240200 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 41340240200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55318855200).

41340240200 is an abundant number, since it is smaller than the sum of its proper divisors (69297470200).

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

41340240200 is a wasteful number, since it uses less digits than its factorization.

41340240200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212599 (or 212590 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 41340240200 its reverse (204204314), we get a palindrome (41544444514).

The spelling of 41340240200 in words is "forty-one billion, three hundred forty million, two hundred forty thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 139 140 175 200 278 280 350 556 695 700 973 1112 1390 1400 1946 2780 3475 3892 4865 5560 6950 7784 9730 13900 19460 24325 27800 38920 48650 97300 194600 212437 424874 849748 1062185 1487059 1699496 2124370 2974118 4248740 5310925 5948236 7435295 8497480 10621850 11896472 14870590 21243700 29528743 29741180 37176475 42487400 59057486 59482360 74352950 118114972 147643715 148705900 206701201 236229944 295287430 297411800 413402402 590574860 738218575 826804804 1033506005 1181149720 1476437150 1653609608 2067012010 2952874300 4134024020 5167530025 5905748600 8268048040 10335060050 20670120100 41340240200