Search a number
-
+
141320104400 = 24522632714957
BaseRepresentation
bin1000001110011101010…
…1011010100111010000
3111111202211201010112202
42003213111122213100
54303410421320100
6144531020142332
713132021032116
oct2034725324720
9444684633482
10141320104400
1154a2a573112
122347b9979a8
1310432218a67
146ba8aa3ab6
153a21a837d5
hex20e755a9d0

141320104400 has 120 divisors (see below), whose sum is σ = 342139125504. Its totient is φ = 56093990400.

The previous prime is 141320104391. The next prime is 141320104417. The reversal of 141320104400 is 4401023141.

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

It is a congruent number.

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, 28506722 + ... + 28511678.

Almost surely, 2141320104400 is an apocalyptic number.

141320104400 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 141320104400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171069562752).

141320104400 is an abundant number, since it is smaller than the sum of its proper divisors (200819021104).

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

141320104400 is a wasteful number, since it uses less digits than its factorization.

141320104400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5509 (or 5498 counting only the distinct ones).

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

Adding to 141320104400 its reverse (4401023141), we get a palindrome (145721127541).

The spelling of 141320104400 in words is "one hundred forty-one billion, three hundred twenty million, one hundred four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 263 271 400 526 542 1052 1084 1315 1355 2104 2168 2630 2710 4208 4336 4957 5260 5420 6575 6775 9914 10520 10840 13150 13550 19828 21040 21680 24785 26300 27100 39656 49570 52600 54200 71273 79312 99140 105200 108400 123925 142546 198280 247850 285092 356365 396560 495700 570184 712730 991400 1140368 1303691 1343347 1425460 1781825 1982800 2607382 2686694 2850920 3563650 5214764 5373388 5701840 6518455 6716735 7127300 10429528 10746776 13036910 13433470 14254600 20859056 21493552 26073820 26866940 28509200 32592275 33583675 52147640 53733880 65184550 67167350 104295280 107467760 130369100 134334700 260738200 268669400 353300261 521476400 537338800 706600522 1413201044 1766501305 2826402088 3533002610 5652804176 7066005220 8832506525 14132010440 17665013050 28264020880 35330026100 70660052200 141320104400