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1310232750444 = 223217107179111779
BaseRepresentation
bin10011000100001111111…
…101010010100101101100
311122020221101002000221100
4103010033331102211230
5132431324041003234
62441525043003100
7163442534423142
oct23041775224554
94566841060840
101310232750444
11465737259042
12191b22369490
1396729097a67
14475b65b7592
152413745b399
hex1310ff5296c

1310232750444 has 144 divisors (see below), whose sum is σ = 3559379241600. Its totient is φ = 404933242368.

The previous prime is 1310232750439. The next prime is 1310232750457. The reversal of 1310232750444 is 4440572320131.

1310232750444 is a `hidden beast` number, since 1 + 3 + 102 + 3 + 2 + 7 + 504 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1310232750399 and 1310232750408.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11665747 + ... + 11777525.

It is an arithmetic number, because the mean of its divisors is an integer number (24717911400).

Almost surely, 21310232750444 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 1310232750444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1779689620800).

1310232750444 is an abundant number, since it is smaller than the sum of its proper divisors (2249146491156).

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

1310232750444 is a wasteful number, since it uses less digits than its factorization.

1310232750444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112092 (or 112087 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 1310232750444 in words is "one trillion, three hundred ten billion, two hundred thirty-two million, seven hundred fifty thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 107 153 179 204 214 306 321 358 428 537 612 642 716 963 1074 1284 1611 1819 1926 2148 3043 3222 3638 3852 5457 6086 6444 7276 9129 10914 12172 16371 18258 19153 21828 27387 32742 36516 38306 54774 57459 65484 76612 109548 111779 114918 172377 223558 229836 325601 335337 344754 447116 651202 670674 689508 976803 1006011 1302404 1341348 1900243 1953606 2012022 2930409 3800486 3907212 4024044 5700729 5860818 7600972 11401458 11721636 11960353 17102187 20008441 22802916 23920706 34204374 35881059 40016882 47841412 60025323 68408748 71762118 80033764 107643177 120050646 143524236 180075969 203326001 215286354 240101292 340143497 360151938 406652002 430572708 609978003 680286994 720303876 813304004 1020430491 1219956006 1360573988 1829934009 2040860982 2140903187 2439912012 3061291473 3659868018 4081721964 4281806374 6122582946 6422709561 7319736036 8563612748 12245165892 12845419122 19268128683 25690838244 36395354179 38536257366 72790708358 77072514732 109186062537 145581416716 218372125074 327558187611 436744250148 655116375222 1310232750444