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3111419904 = 2153311021
BaseRepresentation
bin1011100101110100…
…1000000000000000
322000211200111201020
42321131020000000
522333010414104
61232424305440
7140050430025
oct27135100000
98024614636
103111419904
11135735190a
1272a012280
133a77c5c88
1421732b54c
151332522d9
hexb9748000

3111419904 has 128 divisors (see below), whose sum is σ = 8573026560. Its totient is φ = 1002700800.

The previous prime is 3111419887. The next prime is 3111419911. The reversal of 3111419904 is 4099141113.

It is a tau number, because it is divible by the number of its divisors (128).

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, 3046914 + ... + 3047934.

It is an arithmetic number, because the mean of its divisors is an integer number (66976770).

Almost surely, 23111419904 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 3111419904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4286513280).

3111419904 is an abundant number, since it is smaller than the sum of its proper divisors (5461606656).

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

3111419904 is an equidigital number, since it uses as much as digits as its factorization.

3111419904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1085 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The square root of 3111419904 is about 55780.1031193023. The cubic root of 3111419904 is about 1459.8880104255. Note that the first 3 decimals are identical.

The spelling of 3111419904 in words is "three billion, one hundred eleven million, four hundred nineteen thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 512 744 768 992 1021 1024 1488 1536 1984 2042 2048 2976 3063 3072 3968 4084 4096 5952 6126 6144 7936 8168 8192 11904 12252 12288 15872 16336 16384 23808 24504 24576 31651 31744 32672 32768 47616 49008 49152 63302 63488 65344 94953 95232 98016 98304 126604 126976 130688 189906 190464 196032 253208 253952 261376 379812 380928 392064 506416 507904 522752 759624 761856 784128 1012832 1015808 1045504 1519248 1523712 1568256 2025664 2091008 3038496 3047424 3136512 4051328 4182016 6076992 6273024 8102656 8364032 12153984 12546048 16205312 16728064 24307968 25092096 32410624 33456128 48615936 50184192 64821248 97231872 100368384 129642496 194463744 259284992 388927488 518569984 777854976 1037139968 1555709952 3111419904