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5141143040 = 29511792311
BaseRepresentation
bin1001100100110111…
…11001111000000000
3111021021222010102012
410302123321320000
541012113034130
62210052312052
7241254665135
oct46233717000
914237863365
105141143040
1121a904a950
12bb5912628
1363c179297
1436ab2258c
15201536995
hex1326f9e00

5141143040 has 160 divisors (see below), whose sum is σ = 13623413760. Its totient is φ = 1845043200.

The previous prime is 5141143039. The next prime is 5141143061. The reversal of 5141143040 is 403411415.

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

It is a junction number, because it is equal to n+sod(n) for n = 5141142997 and 5141143015.

It is a congruent number.

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, 2223485 + ... + 2225795.

It is an arithmetic number, because the mean of its divisors is an integer number (85146336).

Almost surely, 25141143040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5141143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6811706880).

5141143040 is an abundant number, since it is smaller than the sum of its proper divisors (8482270720).

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

5141143040 is a wasteful number, since it uses less digits than its factorization.

5141143040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2424 (or 2408 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 5141143040 is about 71701.7645529034. The cubic root of 5141143040 is about 1725.9169572817.

Adding to 5141143040 its reverse (403411415), we get a palindrome (5544554455).

The spelling of 5141143040 in words is "five billion, one hundred forty-one million, one hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 79 80 88 110 128 158 160 176 220 256 316 320 352 395 440 512 632 640 704 790 869 880 1264 1280 1408 1580 1738 1760 2311 2528 2560 2816 3160 3476 3520 4345 4622 5056 5632 6320 6952 7040 8690 9244 10112 11555 12640 13904 14080 17380 18488 20224 23110 25280 25421 27808 28160 34760 36976 40448 46220 50560 50842 55616 69520 73952 92440 101120 101684 111232 127105 139040 147904 182569 184880 202240 203368 222464 254210 278080 295808 365138 369760 406736 444928 508420 556160 591616 730276 739520 813472 912845 1016840 1112320 1183232 1460552 1479040 1626944 1825690 2008259 2033680 2224640 2921104 2958080 3253888 3651380 4016518 4067360 5842208 5916160 6507776 7302760 8033036 8134720 10041295 11684416 13015552 14605520 16066072 16269440 20082590 23368832 29211040 32132144 32538880 40165180 46737664 58422080 64264288 65077760 80330360 93475328 116844160 128528576 160660720 233688320 257057152 321321440 467376640 514114304 642642880 1028228608 1285285760 2570571520 5141143040