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5141238000 = 243531794787
BaseRepresentation
bin1001100100111000…
…10001000011110000
3111021022010221200020
410302130101003300
541012124104000
62210054323440
7241255542033
oct46234210360
914238127606
105141238000
1121a9105228
12bb5959580
1363c1b0582
1436ab4901a
15201554ba0
hex1327110f0

5141238000 has 160 divisors (see below), whose sum is σ = 16671432960. Its totient is φ = 1363052800.

The previous prime is 5141237999. The next prime is 5141238007. The reversal of 5141238000 is 8321415.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5141238007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1071607 + ... + 1076393.

It is an arithmetic number, because the mean of its divisors is an integer number (104196456).

Almost surely, 25141238000 is an apocalyptic number.

5141238000 is a gapful number since it is divisible by the number (50) 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 5141238000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8335716480).

5141238000 is an abundant number, since it is smaller than the sum of its proper divisors (11530194960).

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

5141238000 is a wasteful number, since it uses less digits than its factorization.

5141238000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4992 (or 4976 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 5141238000 is about 71702.4267371754. The cubic root of 5141238000 is about 1725.9275834572.

Adding to 5141238000 its reverse (8321415), we get a palindrome (5149559415).

The spelling of 5141238000 in words is "five billion, one hundred forty-one million, two hundred thirty-eight thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 179 200 240 250 300 358 375 400 500 537 600 716 750 895 1000 1074 1200 1432 1500 1790 2000 2148 2685 2864 3000 3580 4296 4475 4787 5370 6000 7160 8592 8950 9574 10740 13425 14320 14361 17900 19148 21480 22375 23935 26850 28722 35800 38296 42960 44750 47870 53700 57444 67125 71600 71805 76592 89500 95740 107400 114888 119675 134250 143610 179000 191480 214800 229776 239350 268500 287220 358000 359025 382960 478700 537000 574440 598375 718050 856873 957400 1074000 1148880 1196750 1436100 1713746 1795125 1914800 2393500 2570619 2872200 3427492 3590250 4284365 4787000 5141238 5744400 6854984 7180500 8568730 9574000 10282476 12853095 13709968 14361000 17137460 20564952 21421825 25706190 28722000 34274920 41129904 42843650 51412380 64265475 68549840 85687300 102824760 107109125 128530950 171374600 205649520 214218250 257061900 321327375 342749200 428436500 514123800 642654750 856873000 1028247600 1285309500 1713746000 2570619000 5141238000