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4970141120 = 26575937607
BaseRepresentation
bin1001010000011111…
…00101010111000000
3110211101012022212202
410220033211113000
540134324003440
62141103212332
7234110334230
oct45017452700
913741168782
104970141120
11212057364a
12b685a70a8
13612905c09
1435212bcc0
151e1509615
hex1283e55c0

4970141120 has 112 divisors (see below), whose sum is σ = 13755502080. Its totient is φ = 1675121664.

The previous prime is 4970141107. The next prime is 4970141147. The reversal of 4970141120 is 211410794.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113357 + ... + 150963.

Almost surely, 24970141120 is an apocalyptic number.

4970141120 is a gapful number since it is divisible by the number (40) 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 4970141120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6877751040).

4970141120 is an abundant number, since it is smaller than the sum of its proper divisors (8785360960).

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

4970141120 is a wasteful number, since it uses less digits than its factorization.

4970141120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37690 (or 37680 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 29.

The square root of 4970141120 is about 70499.2277971894. The cubic root of 4970141120 is about 1706.5652839624.

The spelling of 4970141120 in words is "four billion, nine hundred seventy million, one hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 59 64 70 80 112 118 140 160 224 236 280 295 320 413 448 472 560 590 826 944 1120 1180 1652 1888 2065 2240 2360 3304 3776 4130 4720 6608 8260 9440 13216 16520 18880 26432 33040 37607 66080 75214 132160 150428 188035 263249 300856 376070 526498 601712 752140 1052996 1203424 1316245 1504280 2105992 2218813 2406848 2632490 3008560 4211984 4437626 5264980 6017120 8423968 8875252 10529960 11094065 12034240 15531691 16847936 17750504 21059920 22188130 31063382 35501008 42119840 44376260 62126764 71002016 77658455 84239680 88752520 124253528 142004032 155316910 177505040 248507056 310633820 355010080 497014112 621267640 710020160 994028224 1242535280 2485070560 4970141120