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140414044200 = 233521811292947
BaseRepresentation
bin1000001011000101010…
…1000100100000101000
3111102102200210111121120
42002301111010200220
54300031443403300
6144301052135240
713100406453153
oct2026125044050
9442380714546
10140414044200
1154605081731
1223268467520
13103195acb71
146b2060ac9a
1539bc25b3a0
hex20b1544828

140414044200 has 96 divisors (see below), whose sum is σ = 437688756960. Its totient is φ = 37236844800.

The previous prime is 140414044171. The next prime is 140414044213. The reversal of 140414044200 is 2440414041.

It is a happy number.

It is a super-2 number, since 2×1404140442002 (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 537874 + ... + 755073.

It is an arithmetic number, because the mean of its divisors is an integer number (4559257885).

Almost surely, 2140414044200 is an apocalyptic number.

140414044200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140414044200 is an abundant number, since it is smaller than the sum of its proper divisors (297274712760).

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

140414044200 is a wasteful number, since it uses less digits than its factorization.

140414044200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1293147 (or 1293138 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 140414044200 its reverse (2440414041), we get a palindrome (142854458241).

The spelling of 140414044200 in words is "one hundred forty billion, four hundred fourteen million, forty-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 181 200 300 362 543 600 724 905 1086 1448 1810 2172 2715 3620 4344 4525 5430 7240 9050 10860 13575 18100 21720 27150 36200 54300 108600 1292947 2585894 3878841 5171788 6464735 7757682 10343576 12929470 15515364 19394205 25858940 31030728 32323675 38788410 51717880 64647350 77576820 96971025 129294700 155153640 193942050 234023407 258589400 387884100 468046814 702070221 775768200 936093628 1170117035 1404140442 1872187256 2340234070 2808280884 3510351105 4680468140 5616561768 5850585175 7020702210 9360936280 11701170350 14041404420 17551755525 23402340700 28082808840 35103511050 46804681400 70207022100 140414044200