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141311450400 = 25352431369297
BaseRepresentation
bin1000001110011011010…
…0011001110100100000
3111111202020102110111020
42003212310121310200
54303401212403100
6144530110445440
713131554336601
oct2034664316440
9444666373436
10141311450400
1154a256a224a
1223478b03880
13104304a8a53
146ba788dda8
153a20e245a0
hex20e6d19d20

141311450400 has 144 divisors (see below), whose sum is σ = 470666062944. Its totient is φ = 36806676480.

The previous prime is 141311450363. The next prime is 141311450407. The reversal of 141311450400 is 4054113141.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (141311450407) 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, 581449 + ... + 787848.

It is an arithmetic number, because the mean of its divisors is an integer number (3268514326).

Almost surely, 2141311450400 is an apocalyptic number.

141311450400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141311450400 is an abundant number, since it is smaller than the sum of its proper divisors (329354612544).

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

141311450400 is a wasteful number, since it uses less digits than its factorization.

141311450400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1369363 (or 1369350 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 141311450400 its reverse (4054113141), we get a palindrome (145365563541).

The spelling of 141311450400 in words is "one hundred forty-one billion, three hundred eleven million, four hundred fifty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 43 48 50 60 75 80 86 96 100 120 129 150 160 172 200 215 240 258 300 344 400 430 480 516 600 645 688 800 860 1032 1075 1200 1290 1376 1720 2064 2150 2400 2580 3225 3440 4128 4300 5160 6450 6880 8600 10320 12900 17200 20640 25800 34400 51600 103200 1369297 2738594 4107891 5477188 6846485 8215782 10954376 13692970 16431564 20539455 21908752 27385940 32863128 34232425 41078910 43817504 54771880 58879771 65726256 68464850 82157820 102697275 109543760 117759542 131452512 136929700 164315640 176639313 205394550 219087520 235519084 273859400 294398855 328631280 353278626 410789100 471038168 547718800 588797710 657262560 706557252 821578200 883196565 942076336 1095437600 1177595420 1413114504 1471994275 1643156400 1766393130 1884152672 2355190840 2826229008 2943988550 3286312800 3532786260 4415982825 4710381680 5652458016 5887977100 7065572520 8831965650 9420763360 11775954200 14131145040 17663931300 23551908400 28262290080 35327862600 47103816800 70655725200 141311450400