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1040143505200 = 2452139181103357
BaseRepresentation
bin11110010001011010110…
…00100101011100110000
310200102210101111210002221
433020231120211130300
5114020203214131300
62113500233050424
7135101503626232
oct17105530453460
93612711453087
101040143505200
1137113898a578
12149705b56a14
1377114cb4a07
14384b3acc252
151c0cab4831a
hexf22d625730

1040143505200 has 120 divisors (see below), whose sum is σ = 2530852928240. Its totient is φ = 410778086400.

The previous prime is 1040143505197. The next prime is 1040143505213. The reversal of 1040143505200 is 25053410401.

It is a happy number.

It is a super-2 number, since 2×10401435052002 (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10011922 + ... + 10115278.

Almost surely, 21040143505200 is an apocalyptic number.

1040143505200 is a gapful number since it is divisible by the number (10) 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 1040143505200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1265426464120).

1040143505200 is an abundant number, since it is smaller than the sum of its proper divisors (1490709423040).

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

1040143505200 is a wasteful number, since it uses less digits than its factorization.

1040143505200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103695 (or 103684 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 1040143505200 its reverse (25053410401), we get a palindrome (1065196915601).

The spelling of 1040143505200 in words is "one trillion, forty billion, one hundred forty-three million, five hundred five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 139 181 200 278 362 400 556 695 724 905 1112 1390 1448 1810 2224 2780 2896 3475 3620 4525 5560 6950 7240 9050 11120 13900 14480 18100 25159 27800 36200 50318 55600 72400 100636 103357 125795 201272 206714 251590 402544 413428 503180 516785 628975 826856 1006360 1033570 1257950 1653712 2012720 2067140 2515900 2583925 4134280 5031800 5167850 8268560 10063600 10335700 14366623 18707617 20671400 28733246 37415234 41342800 57466492 71833115 74830468 93538085 114932984 143666230 149660936 187076170 229865968 287332460 299321872 359165575 374152340 467690425 574664920 718331150 748304680 935380850 1149329840 1436662300 1496609360 1870761700 2600358763 2873324600 3741523400 5200717526 5746649200 7483046800 10401435052 13001793815 20802870104 26003587630 41605740208 52007175260 65008969075 104014350520 130017938150 208028701040 260035876300 520071752600 1040143505200