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204032124240 = 24357367133083
BaseRepresentation
bin1011111000000101000…
…0110010010101010000
3201111122100102211010020
42332001100302111100
511320324210433430
6233421524303440
720512051304160
oct2760120622520
9644570384106
10204032124240
11795908a688a
1233661b41b80
13163177aa6c9
149c377d85a0
155492442b10
hex2f81432550

204032124240 has 160 divisors (see below), whose sum is σ = 723075434496. Its totient is φ = 46621800960.

The previous prime is 204032124227. The next prime is 204032124253. The reversal of 204032124240 is 42421230402.

It is an interprime number because it is at equal distance from previous prime (204032124227) and next prime (204032124253).

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 204032124240.

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, 6150739 + ... + 6183821.

Almost surely, 2204032124240 is an apocalyptic number.

204032124240 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 204032124240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361537717248).

204032124240 is an abundant number, since it is smaller than the sum of its proper divisors (519043310256).

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

204032124240 is a wasteful number, since it uses less digits than its factorization.

204032124240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36777 (or 36771 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 204032124240 its reverse (42421230402), we get a palindrome (246453354642).

The spelling of 204032124240 in words is "two hundred four billion, thirty-two million, one hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 3671 7342 11013 14684 18355 22026 25697 29368 33083 36710 44052 51394 55065 58736 66166 73420 77091 88104 99249 102788 110130 128485 132332 146840 154182 165415 176208 198498 205576 220260 231581 256970 264664 293680 308364 330830 385455 396996 411152 440520 463162 496245 513940 529328 616728 661660 694743 770910 793992 881040 926324 992490 1027880 1157905 1233456 1323320 1389486 1541820 1587984 1852648 1984980 2055760 2315810 2646640 2778972 3083640 3473715 3705296 3969960 4631620 5557944 6167280 6947430 7939920 9263240 11115888 13894860 18526480 27789720 55579440 121447693 242895386 364343079 485790772 607238465 728686158 850133851 971581544 1214476930 1457372316 1700267702 1821715395 1943163088 2428953860 2550401553 2914744632 3400535404 3643430790 4250669255 4857907720 5100803106 5829489264 6801070808 7286861580 8501338510 9715815440 10201606212 12752007765 13602141616 14573723160 17002677020 20403212424 25504015530 29147446320 34005354040 40806424848 51008031060 68010708080 102016062120 204032124240