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3141403520 = 27571257269
BaseRepresentation
bin1011101100111110…
…0000001110000000
322002221002211111112
42323033200032000
522413144403040
61235415102452
7140563326563
oct27317401600
98087084445
103141403520
111372270a62
12738071a28
133b0a93668
1421b2d44da
15135bc6365
hexbb3e0380

3141403520 has 128 divisors (see below), whose sum is σ = 7673745600. Its totient is φ = 1229455360.

The previous prime is 3141403487. The next prime is 3141403523. The reversal of 3141403520 is 253041413.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3141403523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11677946 + ... + 11678214.

Almost surely, 23141403520 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3141403520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3836872800).

3141403520 is an abundant number, since it is smaller than the sum of its proper divisors (4532342080).

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

3141403520 is a wasteful number, since it uses less digits than its factorization.

3141403520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 3141403520 is about 56048.2249495914. The cubic root of 3141403520 is about 1464.5624959853.

Adding to 3141403520 its reverse (253041413), we get a palindrome (3394444933).

The spelling of 3141403520 in words is "three billion, one hundred forty-one million, four hundred three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 71 80 128 142 160 257 269 284 320 355 514 538 568 640 710 1028 1076 1136 1285 1345 1420 2056 2152 2272 2570 2690 2840 4112 4304 4544 5140 5380 5680 8224 8608 9088 10280 10760 11360 16448 17216 18247 19099 20560 21520 22720 32896 34432 36494 38198 41120 43040 45440 69133 72988 76396 82240 86080 91235 95495 138266 145976 152792 164480 172160 182470 190990 276532 291952 305584 345665 364940 381980 553064 583904 611168 691330 729880 763960 1106128 1167808 1222336 1382660 1459760 1527920 2212256 2335616 2444672 2765320 2919520 3055840 4424512 4908443 5530640 5839040 6111680 8849024 9816886 11061280 11678080 12223360 19633772 22122560 24542215 39267544 44245120 49084430 78535088 98168860 157070176 196337720 314140352 392675440 628280704 785350880 1570701760 3141403520