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141054400331400 = 23352892641468171
BaseRepresentation
bin100000000100100111001001…
…011011001111111010001000
3200111102200001200111010121010
4200010213021123033322020
5121442013402441101100
61215555255201243520
741465562351156303
oct4004471133177210
9614380050433533
10141054400331400
1140a42920785306
12139a13553335a0
1360924b0296a3a
1426b90d8627b3a
151149236a99750
hex8049c96cfe88

141054400331400 has 96 divisors (see below), whose sum is σ = 442181771992800. Its totient is φ = 37191871833600.

The previous prime is 141054400331381. The next prime is 141054400331413. The reversal of 141054400331400 is 4133004450141.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 1320680686 + ... + 1320787485.

It is an arithmetic number, because the mean of its divisors is an integer number (4606060124925).

Almost surely, 2141054400331400 is an apocalyptic number.

141054400331400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141054400331400 is an abundant number, since it is smaller than the sum of its proper divisors (301127371661400).

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

141054400331400 is a wasteful number, since it uses less digits than its factorization.

141054400331400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2641468279 (or 2641468270 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 141054400331400 its reverse (4133004450141), we get a palindrome (145187404781541).

The spelling of 141054400331400 in words is "one hundred forty-one trillion, fifty-four billion, four hundred million, three hundred thirty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 89 100 120 150 178 200 267 300 356 445 534 600 712 890 1068 1335 1780 2136 2225 2670 3560 4450 5340 6675 8900 10680 13350 17800 26700 53400 2641468171 5282936342 7924404513 10565872684 13207340855 15848809026 21131745368 26414681710 31697618052 39622022565 52829363420 63395236104 66036704275 79244045130 105658726840 132073408550 158488090260 198110112825 235090667219 264146817100 316976180520 396220225650 470181334438 528293634200 705272001657 792440451300 940362668876 1175453336095 1410544003314 1584880902600 1880725337752 2350906672190 2821088006628 3526360008285 4701813344380 5642176013256 5877266680475 7052720016570 9403626688760 11754533360950 14105440033140 17631800041425 23509066721900 28210880066280 35263600082850 47018133443800 70527200165700 141054400331400