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44023133122140 = 22352356395657177
BaseRepresentation
bin10100000001001111011110…
…01101100010111001011100
312202212120101211200002002010
422000213233031202321130
521232233334034402030
6233343540445231220
712162365164252464
oct1200475715427134
9182776354602063
1044023133122140
1113033118a6a7a7
124b2bb8a262510
131b74495bc1c43
14ac2a33c7aba4
15515221a306b0
hex2809ef362e5c

44023133122140 has 96 divisors (see below), whose sum is σ = 128646943165440. Its totient is φ = 11227095717376.

The previous prime is 44023133122127. The next prime is 44023133122147. The reversal of 44023133122140 is 4122133132044.

44023133122140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 44023133122098 and 44023133122107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44023133122147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4953232 + ... + 10610408.

It is an arithmetic number, because the mean of its divisors is an integer number (1340072324640).

Almost surely, 244023133122140 is an apocalyptic number.

It is an amenable number.

44023133122140 is an abundant number, since it is smaller than the sum of its proper divisors (84623810043300).

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

44023133122140 is a wasteful number, since it uses less digits than its factorization.

44023133122140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5662851 (or 5662849 counting only the distinct ones).

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

Adding to 44023133122140 its reverse (4122133132044), we get a palindrome (48145266254184).

The spelling of 44023133122140 in words is "forty-four trillion, twenty-three billion, one hundred thirty-three million, one hundred twenty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 5639 11278 16917 22556 28195 33834 56390 67668 84585 112780 129697 169170 259394 338340 389091 518788 648485 778182 1296970 1556364 1945455 2593940 3890910 5657177 7781820 11314354 16971531 22628708 28285885 33943062 56571770 67886124 84857655 113143540 130115071 169715310 260230142 339430620 390345213 520460284 650575355 780690426 1301150710 1561380852 1951726065 2602301420 3903452130 7806904260 31900821103 63801642206 95702463309 127603284412 159504105515 191404926618 319008211030 382809853236 478512316545 638016422060 733718885369 957024633090 1467437770738 1914049266180 2201156656107 2934875541476 3668594426845 4402313312214 7337188853690 8804626624428 11005783280535 14674377707380 22011566561070 44023133122140