Search a number
-
+
243151027000 = 23537113307397
BaseRepresentation
bin1110001001110011101…
…1100011101100111000
3212020121121112222102121
43202130323203230320
512440433130331000
6303411350211024
723365336425310
oct3423473435470
9766547488377
10243151027000
1194135463492
123b15a953a74
1319c1015444b
14baa8d6a440
1564d18d3b1a
hex389cee3b38

243151027000 has 128 divisors (see below), whose sum is σ = 656011923840. Its totient is φ = 82628044800.

The previous prime is 243151026997. The next prime is 243151027019. The reversal of 243151027000 is 720151342.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 637302 + ... + 944698.

It is an arithmetic number, because the mean of its divisors is an integer number (5125093155).

Almost surely, 2243151027000 is an apocalyptic number.

243151027000 is a gapful number since it is divisible by the number (20) 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 243151027000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328005961920).

243151027000 is an abundant number, since it is smaller than the sum of its proper divisors (412860896840).

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

243151027000 is a wasteful number, since it uses less digits than its factorization.

243151027000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307538 (or 307524 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

Adding to 243151027000 its reverse (720151342), we get a palindrome (243871178342).

The spelling of 243151027000 in words is "two hundred forty-three billion, one hundred fifty-one million, twenty-seven thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 113 125 140 175 200 226 250 280 350 452 500 565 700 791 875 904 1000 1130 1400 1582 1750 2260 2825 3164 3500 3955 4520 5650 6328 7000 7910 11300 14125 15820 19775 22600 28250 31640 39550 56500 79100 98875 113000 158200 197750 307397 395500 614794 791000 1229588 1536985 2151779 2459176 3073970 4303558 6147940 7684925 8607116 10758895 12295880 15369850 17214232 21517790 30739700 34735861 38424625 43035580 53794475 61479400 69471722 76849250 86071160 107588950 138943444 153698500 173679305 215177900 243151027 268972375 277886888 307397000 347358610 430355800 486302054 537944750 694717220 868396525 972604108 1075889500 1215755135 1389434440 1736793050 1945208216 2151779000 2431510270 3473586100 4341982625 4863020540 6078775675 6947172200 8683965250 9726041080 12157551350 17367930500 24315102700 30393878375 34735861000 48630205400 60787756750 121575513500 243151027000