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4013220432 = 2431319338497
BaseRepresentation
bin1110111100110100…
…1110001001010000
3101100200120201110210
43233031032021100
531204341023212
61502121124120
7201310545054
oct35715161120
911320521423
104013220432
11177a3a3a01
12940029640
134bc5a0060
142a0dd5c64
151874d753c
hexef34e250

4013220432 has 80 divisors (see below), whose sum is σ = 11752650560. Its totient is φ = 1169842176.

The previous prime is 4013220427. The next prime is 4013220493. The reversal of 4013220432 is 2340223104.

4013220432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40132204322 = 32211876471644533248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4013220399 and 4013220408.

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, 157393 + ... + 181104.

It is an arithmetic number, because the mean of its divisors is an integer number (146908132).

Almost surely, 24013220432 is an apocalyptic number.

It is an amenable number.

4013220432 is an abundant number, since it is smaller than the sum of its proper divisors (7739430128).

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

4013220432 is a wasteful number, since it uses less digits than its factorization.

4013220432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338540 (or 338534 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 4013220432 is about 63349.9836779774. The cubic root of 4013220432 is about 1589.1479727641.

Adding to 4013220432 its reverse (2340223104), we get a palindrome (6353443536).

The spelling of 4013220432 in words is "four billion, thirteen million, two hundred twenty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 38 39 48 52 57 76 78 104 114 152 156 208 228 247 304 312 456 494 624 741 912 988 1482 1976 2964 3952 5928 11856 338497 676994 1015491 1353988 2030982 2707976 4061964 4400461 5415952 6431443 8123928 8800922 12862886 13201383 16247856 17601844 19294329 25725772 26402766 35203688 38588658 51451544 52805532 70407376 77177316 83608759 102903088 105611064 154354632 167217518 211222128 250826277 308709264 334435036 501652554 668870072 1003305108 1337740144 2006610216 4013220432