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12433230440112 = 24313929342115107
BaseRepresentation
bin1011010011101101011001…
…0010001010011010110000
31122000121100012120201220110
42310323112102022122300
53112201223443040422
642235425221541320
72422162020003066
oct264732622123260
948017305521813
1012433230440112
113a639a34a4749
121489787874840
136c25aa75bc31
1430dab325a036
1516863bd5560c
hexb4ed648a6b0

12433230440112 has 160 divisors (see below), whose sum is σ = 32539919811840. Its totient is φ = 4090540446720.

The previous prime is 12433230440107. The next prime is 12433230440149. The reversal of 12433230440112 is 21104403233421.

It is a self number, because there is not a number n which added to its sum of digits gives 12433230440112.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 823003663 + ... + 823018769.

It is an arithmetic number, because the mean of its divisors is an integer number (203374498824).

Almost surely, 212433230440112 is an apocalyptic number.

12433230440112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12433230440112 is an abundant number, since it is smaller than the sum of its proper divisors (20106689371728).

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

12433230440112 is a wasteful number, since it uses less digits than its factorization.

12433230440112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15971 (or 15965 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 12433230440112 its reverse (21104403233421), we get a palindrome (33537633673533).

The spelling of 12433230440112 in words is "twelve trillion, four hundred thirty-three billion, two hundred thirty million, four hundred forty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 139 278 293 417 421 556 586 834 842 879 1112 1172 1263 1668 1684 1758 2224 2344 2526 3336 3368 3516 4688 5052 6672 6736 7032 10104 14064 15107 20208 30214 40727 45321 58519 60428 81454 90642 117038 120856 122181 123353 162908 175557 181284 234076 241712 244362 246706 325816 351114 362568 370059 468152 488724 493412 651632 702228 725136 740118 936304 977448 986824 1404456 1480236 1954896 1973648 2099873 2808912 2960472 4199746 4426351 5920944 6299619 6360047 8399492 8852702 12599238 12720094 13279053 16798984 17146067 17705404 19080141 25198476 25440188 26558106 33597968 34292134 35410808 38160282 50396952 50880376 51438201 53116212 68584268 70821616 76320564 100793904 101760752 102876402 106232424 137168536 152641128 205752804 212464848 274337072 305282256 411505608 615262789 823011216 884046533 1230525578 1768093066 1845788367 1863493771 2461051156 2652139599 3536186132 3691576734 3726987542 4922102312 5304279198 5590481313 7072372264 7383153468 7453975084 9844204624 10608558396 11180962626 14144744528 14766306936 14907950168 21217116792 22361925252 29532613872 29815900336 42434233584 44723850504 89447701008 259025634169 518051268338 777076902507 1036102536676 1554153805014 2072205073352 3108307610028 4144410146704 6216615220056 12433230440112