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41320321120 = 2551340948571
BaseRepresentation
bin100110011110111000…
…100001000001100000
310221122200110210120201
4212132320201001200
51134111000233440
630552101514544
72661645635341
oct463670410140
9127580423521
1041320321120
1116584275921
128012112a54
133b86783b70
141ddda9c0c8
15111c88d19a
hex99ee21060

41320321120 has 96 divisors (see below), whose sum is σ = 105387639840. Its totient is φ = 15219118080.

The previous prime is 41320321103. The next prime is 41320321121. The reversal of 41320321120 is 2112302314.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41320321121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 826435 + ... + 875005.

It is an arithmetic number, because the mean of its divisors is an integer number (1097787915).

Almost surely, 241320321120 is an apocalyptic number.

41320321120 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 41320321120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52693819920).

41320321120 is an abundant number, since it is smaller than the sum of its proper divisors (64067318720).

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

41320321120 is a wasteful number, since it uses less digits than its factorization.

41320321120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49008 (or 49000 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 41320321120 its reverse (2112302314), we get a palindrome (43432623434).

The spelling of 41320321120 in words is "forty-one billion, three hundred twenty million, three hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 409 416 520 818 1040 1636 2045 2080 3272 4090 5317 6544 8180 10634 13088 16360 21268 26585 32720 42536 48571 53170 65440 85072 97142 106340 170144 194284 212680 242855 388568 425360 485710 631423 777136 850720 971420 1262846 1554272 1942840 2525692 3157115 3885680 5051384 6314230 7771360 10102768 12628460 19865539 20205536 25256920 39731078 50513840 79462156 99327695 101027680 158924312 198655390 258252007 317848624 397310780 516504014 635697248 794621560 1033008028 1291260035 1589243120 2066016056 2582520070 3178486240 4132032112 5165040140 8264064224 10330080280 20660160560 41320321120