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3141322240 = 2957307571
BaseRepresentation
bin1011101100111100…
…1100011000000000
322002220221201000011
42323033030120000
522413134302430
61235413234304
7140562540610
oct27317143000
98086851004
103141322240
111372215991
12738032994
133b0a65674
1421b2b2a40
15135bac22a
hexbb3cc600

3141322240 has 160 divisors (see below), whose sum is σ = 8650946304. Its totient is φ = 1071636480.

The previous prime is 3141322211. The next prime is 3141322241. The reversal of 3141322240 is 422231413.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3141322241) 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, 5501155 + ... + 5501725.

Almost surely, 23141322240 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 3141322240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4325473152).

3141322240 is an abundant number, since it is smaller than the sum of its proper divisors (5509624064).

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

3141322240 is an equidigital number, since it uses as much as digits as its factorization.

3141322240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 3141322240 is about 56047.4998550337. The cubic root of 3141322240 is about 1464.5498646178.

Adding to 3141322240 its reverse (422231413), we get a palindrome (3563553653).

The spelling of 3141322240 in words is "three billion, one hundred forty-one million, three hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 307 320 448 512 560 571 614 640 896 1120 1142 1228 1280 1535 1792 2149 2240 2284 2456 2560 2855 3070 3584 3997 4298 4480 4568 4912 5710 6140 7994 8596 8960 9136 9824 10745 11420 12280 15988 17192 17920 18272 19648 19985 21490 22840 24560 31976 34384 36544 39296 39970 42980 45680 49120 63952 68768 73088 78592 79940 85960 91360 98240 127904 137536 146176 157184 159880 171920 175297 182720 196480 255808 275072 292352 319760 343840 350594 365440 392960 511616 550144 639520 687680 701188 730880 785920 876485 1023232 1100288 1227079 1279040 1375360 1402376 1461760 1752970 2046464 2454158 2558080 2750720 2804752 3505940 4908316 5116160 5501440 5609504 6135395 7011880 9816632 10232320 11219008 12270790 14023760 19633264 22438016 24541580 28047520 39266528 44876032 49083160 56095040 78533056 89752064 98166320 112190080 157066112 196332640 224380160 314132224 392665280 448760320 628264448 785330560 1570661120 3141322240