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2940131568 = 2431124911031
BaseRepresentation
bin1010111100111110…
…1101100011110000
321120220101011021210
42233033231203300
522010133202233
61203425120120
7132600464103
oct25717554360
97526334253
102940131568
11127969a400
126a0789040
1337b18242a
141dc6a073a
151231ba163
hexaf3ed8f0

2940131568 has 120 divisors (see below), whose sum is σ = 8373714048. Its totient is φ = 888272000.

The previous prime is 2940131549. The next prime is 2940131609. The reversal of 2940131568 is 8651310492.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2851213 + ... + 2852243.

Almost surely, 22940131568 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 2940131568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4186857024).

2940131568 is an abundant number, since it is smaller than the sum of its proper divisors (5433582480).

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

2940131568 is a wasteful number, since it uses less digits than its factorization.

2940131568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1555 (or 1538 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 2940131568 is about 54222.9800730281. The cubic root of 2940131568 is about 1432.5911206653.

The spelling of 2940131568 in words is "two billion, nine hundred forty million, one hundred thirty-one thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 121 132 176 242 264 363 484 491 528 726 968 982 1031 1452 1473 1936 1964 2062 2904 2946 3093 3928 4124 5401 5808 5892 6186 7856 8248 10802 11341 11784 12372 16203 16496 21604 22682 23568 24744 32406 34023 43208 45364 49488 59411 64812 68046 86416 90728 118822 124751 129624 136092 178233 181456 237644 249502 259248 272184 356466 374253 475288 499004 506221 544368 712932 748506 950576 998008 1012442 1425864 1497012 1518663 1996016 2024884 2851728 2994024 3037326 4049768 5568431 5988048 6074652 8099536 11136862 12149304 16705293 22273724 24298608 33410586 44547448 61252741 66821172 89094896 122505482 133642344 183758223 245010964 267284688 367516446 490021928 735032892 980043856 1470065784 2940131568