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143133002240 = 29537240841
BaseRepresentation
bin1000010101001101100…
…1000100101000000000
3111200110011222212212012
42011103121010220000
54321114022032430
6145430540552052
713224653305424
oct2052331045000
9450404885765
10143133002240
115577a937098
12238a6b52628
13106609a3687
146cdb776b84
153acacd8695
hex2153644a00

143133002240 has 120 divisors (see below), whose sum is σ = 352718291772. Its totient is φ = 55704453120.

The previous prime is 143133002237. The next prime is 143133002279. The reversal of 143133002240 is 42200331341.

It can be written as a sum of positive squares in 6 ways, for example, as 139828132096 + 3304870144 = 373936^2 + 57488^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3484220 + ... + 3525060.

Almost surely, 2143133002240 is an apocalyptic number.

143133002240 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 143133002240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176359145886).

143133002240 is an abundant number, since it is smaller than the sum of its proper divisors (209585289532).

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

143133002240 is an frugal number, since it uses more digits than its factorization.

143133002240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40938 (or 40885 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 143133002240 its reverse (42200331341), we get a palindrome (185333333581).

The spelling of 143133002240 in words is "one hundred forty-three billion, one hundred thirty-three million, two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 128 148 160 185 256 296 320 370 512 592 640 740 1184 1280 1369 1480 2368 2560 2738 2960 4736 5476 5920 6845 9472 10952 11840 13690 18944 21904 23680 27380 40841 43808 47360 54760 81682 87616 94720 109520 163364 175232 204205 219040 326728 350464 408410 438080 653456 700928 816820 876160 1306912 1511117 1633640 1752320 2613824 3022234 3267280 3504640 5227648 6044468 6534560 7555585 10455296 12088936 13069120 15111170 20910592 24177872 26138240 30222340 48355744 52276480 55911329 60444680 96711488 104552960 111822658 120889360 193422976 223645316 241778720 279556645 386845952 447290632 483557440 559113290 773691904 894581264 967114880 1118226580 1789162528 1934229760 2236453160 3578325056 3868459520 4472906320 7156650112 8945812640 14313300224 17891625280 28626600448 35783250560 71566501120 143133002240