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200320423440 = 243517103476681
BaseRepresentation
bin1011101010010000000…
…1110001011000010000
3201011001200012212211020
42322210001301120100
511240224012022230
6232005333515440
720321061335064
oct2724401613020
9634050185736
10200320423440
1177a56725065
12329a6aa2b80
1315b7581b047
1499a488daa4
155326669810
hex2ea4071610

200320423440 has 160 divisors (see below), whose sum is σ = 663907435776. Its totient is φ = 49788272640.

The previous prime is 200320423411. The next prime is 200320423447. The reversal of 200320423440 is 44324023002.

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

It is a self number, because there is not a number n which added to its sum of digits gives 200320423440.

It is not an unprimeable number, because it can be changed into a prime (200320423447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 181900 + ... + 658580.

Almost surely, 2200320423440 is an apocalyptic number.

200320423440 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 200320423440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331953717888).

200320423440 is an abundant number, since it is smaller than the sum of its proper divisors (463587012336).

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

200320423440 is a wasteful number, since it uses less digits than its factorization.

200320423440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476817 (or 476811 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 200320423440 its reverse (44324023002), we get a palindrome (244644446442).

The spelling of 200320423440 in words is "two hundred billion, three hundred twenty million, four hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 103 120 136 170 204 206 240 255 272 309 340 408 412 510 515 618 680 816 824 1020 1030 1236 1360 1545 1648 1751 2040 2060 2472 3090 3502 4080 4120 4944 5253 6180 7004 8240 8755 10506 12360 14008 17510 21012 24720 26265 28016 35020 42024 52530 70040 84048 105060 140080 210120 420240 476681 953362 1430043 1906724 2383405 2860086 3813448 4766810 5720172 7150215 7626896 8103577 9533620 11440344 14300430 16207154 19067240 22880688 24310731 28600860 32414308 38134480 40517885 48621462 49098143 57201720 64828616 81035770 97242924 98196286 114403440 121553655 129657232 147294429 162071540 194485848 196392572 243107310 245490715 294588858 324143080 388971696 392785144 486214620 490981430 589177716 648286160 736472145 785570288 834668431 972429240 981962860 1178355432 1472944290 1669336862 1944858480 1963925720 2356710864 2504005293 2945888580 3338673724 3927851440 4173342155 5008010586 5891777160 6677347448 8346684310 10016021172 11783554320 12520026465 13354694896 16693368620 20032042344 25040052930 33386737240 40064084688 50080105860 66773474480 100160211720 200320423440