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141232210400 = 25521071998291
BaseRepresentation
bin1000001110001000011…
…0001000000111100000
3111111112201022122122102
42003202012020013200
54303220421213100
6144514200225532
713126602660311
oct2034206100740
9444481278572
10141232210400
11549949a0046
122345646b2a8
1310419c53588
146b9b144608
153a18ec0cd5
hex20e21881e0

141232210400 has 144 divisors (see below), whose sum is σ = 349796361600. Its totient is φ = 55676966400.

The previous prime is 141232210391. The next prime is 141232210403. The reversal of 141232210400 is 4012232141.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141232210403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17030255 + ... + 17038545.

It is an arithmetic number, because the mean of its divisors is an integer number (2429141400).

Almost surely, 2141232210400 is an apocalyptic number.

141232210400 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 141232210400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174898180800).

141232210400 is an abundant number, since it is smaller than the sum of its proper divisors (208564151200).

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

141232210400 is a wasteful number, since it uses less digits than its factorization.

141232210400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8617 (or 8604 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 141232210400 its reverse (4012232141), we get a palindrome (145244442541).

The spelling of 141232210400 in words is "one hundred forty-one billion, two hundred thirty-two million, two hundred ten thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 107 160 199 200 214 398 400 428 535 796 800 856 995 1070 1592 1712 1990 2140 2675 3184 3424 3980 4280 4975 5350 6368 7960 8291 8560 9950 10700 15920 16582 17120 19900 21293 21400 31840 33164 39800 41455 42586 42800 66328 79600 82910 85172 85600 106465 132656 159200 165820 170344 207275 212930 265312 331640 340688 414550 425860 532325 663280 681376 829100 851720 887137 1064650 1326560 1649909 1658200 1703440 1774274 2129300 3299818 3316400 3406880 3548548 4258600 4435685 6599636 6632800 7097096 8249545 8517200 8871370 13199272 14194192 16499090 17034400 17742740 22178425 26398544 28388384 32998180 35485480 41247725 44356850 52797088 65996360 70970960 82495450 88713700 131992720 141941920 164990900 176540263 177427400 263985440 329981800 353080526 354854800 659963600 706161052 709709600 882701315 1319927200 1412322104 1765402630 2824644208 3530805260 4413506575 5649288416 7061610520 8827013150 14123221040 17654026300 28246442080 35308052600 70616105200 141232210400