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40186414048 = 2511359487653
BaseRepresentation
bin100101011011010011…
…000000001111100000
310211201122211100111111
4211123103000033200
51124300210222143
630243354153104
72621566611664
oct453323001740
9124648740444
1040186414048
1116052201740
127956422794
133a35890a31
141d332548a4
1510a305a99d
hex95b4c03e0

40186414048 has 96 divisors (see below), whose sum is σ = 86860408320. Its totient is φ = 18150428160.

The previous prime is 40186414043. The next prime is 40186414069. The reversal of 40186414048 is 84041468104.

It is a happy number.

It is a super-2 number, since 2×401864140482 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40186414048.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40186414043) 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, 61540890 + ... + 61541542.

It is an arithmetic number, because the mean of its divisors is an integer number (904795920).

Almost surely, 240186414048 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 40186414048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43430204160).

40186414048 is an abundant number, since it is smaller than the sum of its proper divisors (46673994272).

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

40186414048 is a wasteful number, since it uses less digits than its factorization.

40186414048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520 (or 1512 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 40.

The spelling of 40186414048 in words is "forty billion, one hundred eighty-six million, four hundred fourteen thousand, forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 359 487 653 718 974 1306 1436 1948 2612 2872 3896 3949 5224 5357 5744 7183 7792 7898 10448 10714 11488 14366 15584 15796 20896 21428 28732 31592 42856 57464 63184 85712 114928 126368 171424 174833 229856 234427 318011 349666 468854 636022 699332 937708 1272044 1398664 1875416 1923163 2544088 2578697 2797328 3498121 3750832 3846326 5088176 5157394 5594656 6996242 7501664 7692652 10176352 10314788 13992484 15385304 20629576 27984968 30770608 41259152 55969936 61541216 82518304 111939872 114165949 228331898 456663796 913327592 1255825439 1826655184 2511650878 3653310368 5023301756 10046603512 20093207024 40186414048