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4123040544 = 253273735483
BaseRepresentation
bin1111010111000000…
…1001101100100000
3101122100020011100100
43311300021230200
531420444244134
61521043022400
7204113160240
oct36560115440
911570204310
104123040544
111826392427
1297096aa00
1350927157c
142b1821b20
15191e7b999
hexf5c09b20

4123040544 has 144 divisors (see below), whose sum is σ = 13438256832. Its totient is φ = 1174639104.

The previous prime is 4123040539. The next prime is 4123040557. The reversal of 4123040544 is 4450403214.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 749227 + ... + 754709.

It is an arithmetic number, because the mean of its divisors is an integer number (93321228).

Almost surely, 24123040544 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 4123040544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6719128416).

4123040544 is an abundant number, since it is smaller than the sum of its proper divisors (9315216288).

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

4123040544 is a wasteful number, since it uses less digits than its factorization.

4123040544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5879 (or 5868 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 4123040544 is about 64210.9067370957. The cubic root of 4123040544 is about 1603.5131844799.

Adding to 4123040544 its reverse (4450403214), we get a palindrome (8573443758).

The spelling of 4123040544 in words is "four billion, one hundred twenty-three million, forty thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 373 504 672 746 1008 1119 1492 2016 2238 2611 2984 3357 4476 5222 5483 5968 6714 7833 8952 10444 10966 11936 13428 15666 16449 17904 20888 21932 23499 26856 31332 32898 35808 38381 41776 43864 46998 49347 53712 62664 65796 76762 83552 87728 93996 98694 107424 115143 125328 131592 153524 175456 187992 197388 230286 250656 263184 307048 345429 375984 394776 460572 526368 614096 690858 751968 789552 921144 1228192 1381716 1579104 1842288 2045159 2763432 3684576 4090318 5526864 6135477 8180636 11053728 12270954 14316113 16361272 18406431 24541908 28632226 32722544 36812862 42948339 49083816 57264452 65445088 73625724 85896678 98167632 114528904 128845017 147251448 171793356 196335264 229057808 257690034 294502896 343586712 458115616 515380068 589005792 687173424 1030760136 1374346848 2061520272 4123040544