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141311242400 = 25521491185497
BaseRepresentation
bin1000001110011011001…
…1100111000010100000
3111111202020000220011112
42003212303213002200
54303401134224100
6144530102202452
713131552512306
oct2034663470240
9444666026145
10141311242400
1154a2556aa49
1223478a23428
1310430435183
146ba7838276
153a20dd2b35
hex20e6ce70a0

141311242400 has 72 divisors (see below), whose sum is σ = 347291639100. Its totient is φ = 56145090560.

The previous prime is 141311242393. The next prime is 141311242411. The reversal of 141311242400 is 4242113141.

It can be written as a sum of positive squares in 6 ways, for example, as 4118045584 + 137193196816 = 64172^2 + 370396^2 .

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, 473549 + ... + 711948.

Almost surely, 2141311242400 is an apocalyptic number.

141311242400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141311242400 is an abundant number, since it is smaller than the sum of its proper divisors (205980396700).

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

141311242400 is a wasteful number, since it uses less digits than its factorization.

141311242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1185666 (or 1185653 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 141311242400 its reverse (4242113141), we get a palindrome (145553355541).

The spelling of 141311242400 in words is "one hundred forty-one billion, three hundred eleven million, two hundred forty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 149 160 200 298 400 596 745 800 1192 1490 2384 2980 3725 4768 5960 7450 11920 14900 23840 29800 59600 119200 1185497 2370994 4741988 5927485 9483976 11854970 18967952 23709940 29637425 37935904 47419880 59274850 94839760 118549700 176639053 189679520 237099400 353278106 474198800 706556212 883195265 948397600 1413112424 1766390530 2826224848 3532781060 4415976325 5652449696 7065562120 8831952650 14131124240 17663905300 28262248480 35327810600 70655621200 141311242400