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141722131600 = 24527226892
BaseRepresentation
bin1000001111111101001…
…1000001110010010000
3111112210212012020012001
42003333103001302100
54310221331202400
6145034541043344
713145002146100
oct2037723016220
9445725166161
10141722131600
11551164a30a5
1223572556554
13104975b9c8a
146c06235200
153a46ee7a6a
hex20ff4c1c90

141722131600 has 135 divisors (see below), whose sum is σ = 396224554347. Its totient is φ = 48572375040.

The previous prime is 141722131571. The next prime is 141722131627. The reversal of 141722131600 is 6131227141.

The square root of 141722131600 is 376460.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 63885595536 + 77836536064 = 252756^2 + 278992^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 52703056 + ... + 52705744.

Almost surely, 2141722131600 is an apocalyptic number.

141722131600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

141722131600 is the 376460-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141722131600

141722131600 is an abundant number, since it is smaller than the sum of its proper divisors (254502422747).

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

141722131600 is an frugal number, since it uses more digits than its factorization.

141722131600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5410 (or 2703 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

Adding to 141722131600 its reverse (6131227141), we get a palindrome (147853358741).

The spelling of 141722131600 in words is "one hundred forty-one billion, seven hundred twenty-two million, one hundred thirty-one thousand, six hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 49 50 56 70 80 98 100 112 140 175 196 200 245 280 350 392 400 490 560 700 784 980 1225 1400 1960 2450 2689 2800 3920 4900 5378 9800 10756 13445 18823 19600 21512 26890 37646 43024 53780 67225 75292 94115 107560 131761 134450 150584 188230 215120 263522 268900 301168 376460 470575 527044 537800 658805 752920 941150 1054088 1075600 1317610 1505840 1882300 2108176 2635220 3294025 3764600 5270440 6588050 7230721 7529200 10540880 13176100 14461442 26352200 28922884 36153605 50615047 52704400 57845768 72307210 101230094 115691536 144614420 180768025 202460188 253075235 289228840 354305329 361536050 404920376 506150470 578457680 708610658 723072100 809840752 1012300940 1265376175 1417221316 1446144200 1771526645 2024601880 2530752350 2834442632 2892288400 3543053290 4049203760 5061504700 5668885264 7086106580 8857633225 10123009400 14172213160 17715266450 20246018800 28344426320 35430532900 70861065800 141722131600