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3001423541440 = 265312521120017
BaseRepresentation
bin101011101011010010110…
…010001011010011000000
3101121221012100220200012011
4223223102302023103000
5343133403411311230
610214500202542304
7426563034105502
oct53532262132300
911557170820164
103001423541440
11a57995384505
12405842807994
1318a057731a0c
14a53abdb5d72
15531196d8e2a
hex2bad2c8b4c0

3001423541440 has 112 divisors (see below), whose sum is σ = 7380680696064. Its totient is φ = 1161370828800.

The previous prime is 3001423541407. The next prime is 3001423541447. The reversal of 3001423541440 is 441453241003.

It is a super-2 number, since 2×30014235414402 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (3001423541447) 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 15 ways as a sum of consecutive naturals, for example, 24948312 + ... + 25068328.

Almost surely, 23001423541440 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 3001423541440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3690340348032).

3001423541440 is an abundant number, since it is smaller than the sum of its proper divisors (4379257154624).

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

3001423541440 is a wasteful number, since it uses less digits than its factorization.

3001423541440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122586 (or 122576 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

Adding to 3001423541440 its reverse (441453241003), we get a palindrome (3442876782443).

The spelling of 3001423541440 in words is "three trillion, one billion, four hundred twenty-three million, five hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 155 160 248 310 320 496 620 992 1240 1984 2480 2521 4960 5042 9920 10084 12605 20168 25210 40336 50420 78151 80672 100840 120017 156302 161344 201680 240034 312604 390755 403360 480068 600085 625208 781510 806720 960136 1200170 1250416 1563020 1920272 2400340 2500832 3126040 3720527 3840544 4800680 5001664 6252080 7441054 7681088 9601360 12504160 14882108 18602635 19202720 25008320 29764216 37205270 38405440 59528432 74410540 119056864 148821080 238113728 297642160 302562857 595284320 605125714 1190568640 1210251428 1512814285 2420502856 3025628570 4841005712 6051257140 9379448567 9682011424 12102514280 18758897134 19364022848 24205028560 37517794268 46897242835 48410057120 75035588536 93794485670 96820114240 150071177072 187588971340 300142354144 375177942680 600284708288 750355885360 1500711770720 3001423541440