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2941370112 = 28311333893
BaseRepresentation
bin1010111101010001…
…1011111100000000
321120222201002020210
42233110123330000
522010442320422
61203511434120
7132614143032
oct25724337400
97528632223
102941370112
11127a36599a
126a1085940
1337b4c70b5
141dc903c52
1512336210c
hexaf51bf00

2941370112 has 72 divisors (see below), whose sum is σ = 7897844304. Its totient is φ = 971751424.

The previous prime is 2941370101. The next prime is 2941370147. The reversal of 2941370112 is 2110731492.

2941370112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2941370112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69838 + ... + 103730.

It is an arithmetic number, because the mean of its divisors is an integer number (109692282).

Almost surely, 22941370112 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 2941370112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3948922152).

2941370112 is an abundant number, since it is smaller than the sum of its proper divisors (4956474192).

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

2941370112 is a wasteful number, since it uses less digits than its factorization.

2941370112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34025 (or 34011 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 2941370112 is about 54234.3997108846. The cubic root of 2941370112 is about 1432.7922543001.

The spelling of 2941370112 in words is "two billion, nine hundred forty-one million, three hundred seventy thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 113 128 192 226 256 339 384 452 678 768 904 1356 1808 2712 3616 5424 7232 10848 14464 21696 28928 33893 43392 67786 86784 101679 135572 203358 271144 406716 542288 813432 1084576 1626864 2169152 3253728 3829909 4338304 6507456 7659818 8676608 11489727 13014912 15319636 22979454 26029824 30639272 45958908 61278544 91917816 122557088 183835632 245114176 367671264 490228352 735342528 980456704 1470685056 2941370112