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143224441040 = 24517677155557
BaseRepresentation
bin1000010101100011010…
…1111000100011010000
3111200200120001110022102
42011120311320203100
54321310424103130
6145444004455532
713230143443022
oct2053065704320
9450616043272
10143224441040
115581751044a
12239116aa5a8
131067690a485
146d0997a012
153ad3d4b645
hex2158d788d0

143224441040 has 80 divisors (see below), whose sum is σ = 353107948752. Its totient is φ = 53839798272.

The previous prime is 143224441039. The next prime is 143224441049. The reversal of 143224441040 is 40144422341.

It can be written as a sum of positive squares in 8 ways, for example, as 47931220624 + 95293220416 = 218932^2 + 308696^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1432244410402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 143224440994 and 143224441012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (143224441049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 842942 + ... + 998498.

Almost surely, 2143224441040 is an apocalyptic number.

143224441040 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 143224441040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176553974376).

143224441040 is an abundant number, since it is smaller than the sum of its proper divisors (209883507712).

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

143224441040 is a wasteful number, since it uses less digits than its factorization.

143224441040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156264 (or 156258 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 143224441040 its reverse (40144422341), we get a palindrome (183368863381).

The spelling of 143224441040 in words is "one hundred forty-three billion, two hundred twenty-four million, four hundred forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 677 680 1354 1360 2708 3385 5416 6770 10832 11509 13540 23018 27080 46036 54160 57545 92072 115090 155557 184144 230180 311114 460360 622228 777785 920720 1244456 1555570 2488912 2644469 3111140 5288938 6222280 10577876 12444560 13222345 21155752 26444690 42311504 52889380 105312089 105778760 210624178 211557520 421248356 526560445 842496712 1053120890 1684993424 1790305513 2106241780 3580611026 4212483560 7161222052 8424967120 8951527565 14322444104 17903055130 28644888208 35806110260 71612220520 143224441040