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431203040112 = 2431319163223129
BaseRepresentation
bin1100100011001011011…
…01000011101101110000
31112020000021121001011010
412101211231003231300
524031100434240422
6530031505350520
743103420236305
oct6214555035560
91466007531133
10431203040112
11156965969259
126b6a1038440
133187c0205a0
1416c282cd0ac
15b33ae5db0c
hex6465b43b70

431203040112 has 160 divisors (see below), whose sum is σ = 1270520070400. Its totient is φ = 124923119616.

The previous prime is 431203040039. The next prime is 431203040113. The reversal of 431203040112 is 211040302134.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431203040113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1820964 + ... + 2044092.

It is an arithmetic number, because the mean of its divisors is an integer number (7940750440).

Almost surely, 2431203040112 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 431203040112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635260035200).

431203040112 is an abundant number, since it is smaller than the sum of its proper divisors (839317030288).

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

431203040112 is a wasteful number, since it uses less digits than its factorization.

431203040112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223335 (or 223329 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 431203040112 its reverse (211040302134), we get a palindrome (642243342246).

The spelling of 431203040112 in words is "four hundred thirty-one billion, two hundred three million, forty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 38 39 48 52 57 76 78 104 114 152 156 163 208 228 247 304 312 326 456 489 494 624 652 741 912 978 988 1304 1482 1956 1976 2119 2608 2964 3097 3912 3952 4238 5928 6194 6357 7824 8476 9291 11856 12388 12714 16952 18582 24776 25428 33904 37164 40261 49552 50856 74328 80522 101712 120783 148656 161044 223129 241566 322088 446258 483132 644176 669387 892516 966264 1338774 1785032 1932528 2677548 2900677 3570064 4239451 5355096 5801354 8478902 8702031 10710192 11602708 12718353 16957804 17404062 23205416 25436706 33915608 34808124 36370027 46410832 50873412 55112863 67831216 69616248 72740054 101746824 109110081 110225726 139232496 145480108 165338589 203493648 218220162 220451452 290960216 330677178 436440324 440902904 472810351 581920432 661354356 691030513 872880648 881805808 945620702 1322708712 1382061026 1418431053 1745761296 1891241404 2073091539 2645417424 2764122052 2836862106 3782482808 4146183078 5528244104 5673724212 7564965616 8292366156 8983396669 11056488208 11347448424 16584732312 17966793338 22694896848 26950190007 33169464624 35933586676 53900380014 71867173352 107800760028 143734346704 215601520056 431203040112