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3141345043456 = 2109725712
BaseRepresentation
bin101101101101100110110…
…000010110010000000000
3102010022100201220102221121
4231231212300112100000
5402431433312342311
610403040342202024
7442645313205634
oct55554660262000
912108321812847
103141345043456
111001267422984
12428992123314
1319a2c5c6b1a9
14ac08300cdc4
1556aa85a1b71
hex2db66c16400

3141345043456 has 99 divisors (see below), whose sum is σ = 6356159742177. Its totient is φ = 1551757639680.

The previous prime is 3141345043429. The next prime is 3141345043481. The reversal of 3141345043456 is 6543405431413.

The square root of 3141345043456 is 1772384.

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

It can be written as a sum of positive squares in only one way, i.e., 1410583782400 + 1730761261056 = 1187680^2 + 1315584^2 .

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 8 ways as a sum of consecutive naturals, for example, 5501479651 + ... + 5501480221.

Almost surely, 23141345043456 is an apocalyptic number.

3141345043456 is the 1772384-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3141345043456

3141345043456 is an abundant number, since it is smaller than the sum of its proper divisors (3214814698721).

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

3141345043456 is an frugal number, since it uses more digits than its factorization.

3141345043456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 43.

The spelling of 3141345043456 in words is "three trillion, one hundred forty-one billion, three hundred forty-five million, forty-three thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 97 128 194 256 388 512 571 776 1024 1142 1552 2284 3104 4568 6208 9136 9409 12416 18272 18818 24832 36544 37636 49664 55387 73088 75272 99328 110774 146176 150544 221548 292352 301088 326041 443096 584704 602176 652082 886192 1204352 1304164 1772384 2408704 2608328 3544768 4817408 5216656 5372539 7089536 9634816 10433312 10745078 14179072 20866624 21490156 28358144 31625977 41733248 42980312 56716288 63251954 83466496 85960624 126503908 166932992 171921248 253007816 333865984 343842496 506015632 687684992 1012031264 1375369984 2024062528 2750739968 3067719769 4048125056 5501479936 6135439538 8096250112 12270879076 16192500224 24541758152 32385000448 49083516304 98167032608 196334065216 392668130432 785336260864 1570672521728 3141345043456