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2939154144 = 253313073217
BaseRepresentation
bin1010111100101111…
…1110111011100000
321120211112111111220
42233023332323200
522004410413034
61203352135040
7132556253343
oct25713767340
97524474456
102939154144
111279092013
126a0397480
1337abcc584
141dc4c845a
15123075749
hexaf2feee0

2939154144 has 96 divisors (see below), whose sum is σ = 7992585216. Its totient is φ = 944732160.

The previous prime is 2939154109. The next prime is 2939154149. The reversal of 2939154144 is 4414519392.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 2939154096 and 2939154105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2939154149) 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, 912024 + ... + 915240.

It is an arithmetic number, because the mean of its divisors is an integer number (83256096).

Almost surely, 22939154144 is an apocalyptic number.

2939154144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2939154144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3996292608).

2939154144 is an abundant number, since it is smaller than the sum of its proper divisors (5053431072).

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

2939154144 is a wasteful number, since it uses less digits than its factorization.

2939154144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3568 (or 3560 counting only the distinct ones).

The product of its digits is 155520, while the sum is 42.

The square root of 2939154144 is about 54213.9663186526. The cubic root of 2939154144 is about 1432.4323517908.

The spelling of 2939154144 in words is "two billion, nine hundred thirty-nine million, one hundred fifty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 307 372 496 614 744 921 992 1228 1488 1842 2456 2976 3217 3684 4912 6434 7368 9517 9651 9824 12868 14736 19034 19302 25736 28551 29472 38068 38604 51472 57102 76136 77208 99727 102944 114204 152272 154416 199454 228408 299181 304544 308832 398908 456816 598362 797816 913632 987619 1196724 1595632 1975238 2393448 2962857 3191264 3950476 4786896 5925714 7900952 9573792 11851428 15801904 23702856 30616189 31603808 47405712 61232378 91848567 94811424 122464756 183697134 244929512 367394268 489859024 734788536 979718048 1469577072 2939154144