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57144125700 = 223352131161561
BaseRepresentation
bin110101001110000011…
…100010100100000100
312110111110202100201000
4311032003202210010
51414012344010300
642130204533300
74062041024364
oct651603424404
9173443670630
1057144125700
1122264407472
12b0a9551230
135508b98b3c
142aa14869a4
151746b7cc00
hexd4e0e2904

57144125700 has 144 divisors (see below), whose sum is σ = 185111277120. Its totient is φ = 15122016000.

The previous prime is 57144125693. The next prime is 57144125707. The reversal of 57144125700 is 752144175.

57144125700 is a `hidden beast` number, since 5 + 71 + 4 + 4 + 12 + 570 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (57144125693) and next prime (57144125707).

It is a super-2 number, since 2×571441257002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (57144125707) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 272920 + ... + 434480.

It is an arithmetic number, because the mean of its divisors is an integer number (1285494980).

Almost surely, 257144125700 is an apocalyptic number.

57144125700 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 57144125700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92555638560).

57144125700 is an abundant number, since it is smaller than the sum of its proper divisors (127967151420).

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

57144125700 is a wasteful number, since it uses less digits than its factorization.

57144125700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161715 (or 161702 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

Adding to 57144125700 its reverse (752144175), we get a palindrome (57896269875).

The spelling of 57144125700 in words is "fifty-seven billion, one hundred forty-four million, one hundred twenty-five thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 131 135 150 180 225 262 270 300 393 450 524 540 655 675 786 900 1179 1310 1350 1572 1965 2358 2620 2700 3275 3537 3930 4716 5895 6550 7074 7860 9825 11790 13100 14148 17685 19650 23580 29475 35370 39300 58950 70740 88425 117900 161561 176850 323122 353700 484683 646244 807805 969366 1454049 1615610 1938732 2423415 2908098 3231220 4039025 4362147 4846830 5816196 7270245 8078050 8724294 9693660 12117075 14540490 16156100 17448588 21164491 21810735 24234150 29080980 36351225 42328982 43621470 48468300 63493473 72702450 84657964 87242940 105822455 109053675 126986946 145404900 190480419 211644910 218107350 253973892 317467365 380960838 423289820 436214700 529112275 571441257 634934730 761921676 952402095 1058224550 1142882514 1269869460 1587336825 1904804190 2116449100 2285765028 2857206285 3174673650 3809608380 4762010475 5714412570 6349347300 9524020950 11428825140 14286031425 19048041900 28572062850 57144125700