Search a number
-
+
140490032400 = 24325262472
BaseRepresentation
bin1000001011010111011…
…0111100010100010000
3111102121222210002211100
42002311312330110100
54300210422014100
6144312404544400
713102321400124
oct2026566742420
9442558702740
10140490032400
1154643a627a3
12232899b2100
131032c2671b3
146b2a74b584
1539c3c6b400
hex20b5dbc510

140490032400 has 135 divisors (see below), whose sum is σ = 487617493701. Its totient is φ = 37458011520.

The previous prime is 140490032383. The next prime is 140490032471. The reversal of 140490032400 is 4230094041.

The square root of 140490032400 is 374820.

It is a perfect power (a square), and thus also a powerful number.

140490032400 is a `hidden beast` number, since 140 + 4 + 90 + 0 + 32 + 400 = 666.

It can be written as a sum of positive squares in only one way, i.e., 50576411664 + 89913620736 = 224892^2 + 299856^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 22486077 + ... + 22492323.

Almost surely, 2140490032400 is an apocalyptic number.

140490032400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

140490032400 is the 374820-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140490032400

140490032400 is an abundant number, since it is smaller than the sum of its proper divisors (347127461301).

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

140490032400 is an frugal number, since it uses more digits than its factorization.

140490032400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12518 (or 6257 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 140490032400 in words is "one hundred forty billion, four hundred ninety million, thirty-two thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 144 150 180 200 225 240 300 360 400 450 600 720 900 1200 1800 3600 6247 12494 18741 24988 31235 37482 49976 56223 62470 74964 93705 99952 112446 124940 149928 156175 187410 224892 249880 281115 299856 312350 374820 449784 468525 499760 562230 624700 749640 899568 937050 1124460 1249400 1405575 1499280 1874100 2248920 2498800 2811150 3748200 4497840 5622300 7496400 11244600 22489200 39025009 78050018 117075027 156100036 195125045 234150054 312200072 351225081 390250090 468300108 585375135 624400144 702450162 780500180 936600216 975625225 1170750270 1404900324 1561000360 1756125405 1873200432 1951250450 2341500540 2809800648 2926875675 3122000720 3512250810 3902500900 4683001080 5619601296 5853751350 7024501620 7805001800 8780627025 9366002160 11707502700 14049003240 15610003600 17561254050 23415005400 28098006480 35122508100 46830010800 70245016200 140490032400