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40001304310000 = 245411363648221
BaseRepresentation
bin10010001100001100001111…
…00010001011000011110000
312020122002100200012211021021
421012012013202023003300
520220340132400410000
6221024202344105224
711265666416354545
oct1106060742130360
9166562320184237
1040001304310000
11118225044a6520
1245a062ba65214
131942150881427
149c41057dcbcc
154957d44ae11a
hex24618788b0f0

40001304310000 has 100 divisors (see below), whose sum is σ = 105651445234104. Its totient is φ = 14545928800000.

The previous prime is 40001304309919. The next prime is 40001304310003. The reversal of 40001304310000 is 1340310004.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×400013043100002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40001304310003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 181714111 + ... + 181934110.

Almost surely, 240001304310000 is an apocalyptic number.

40001304310000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40001304310000 is an abundant number, since it is smaller than the sum of its proper divisors (65650140924104).

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

40001304310000 is a wasteful number, since it uses less digits than its factorization.

40001304310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363648260 (or 363648239 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 40001304310000 its reverse (1340310004), we get a palindrome (40002644620004).

It can be divided in two parts, 40001304 and 310000, that added together give a palindrome (40311304).

The spelling of 40001304310000 in words is "forty trillion, one billion, three hundred four million, three hundred ten thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 625 880 1000 1100 1250 1375 2000 2200 2500 2750 4400 5000 5500 6875 10000 11000 13750 22000 27500 55000 110000 363648221 727296442 1454592884 1818241105 2909185768 3636482210 4000130431 5818371536 7272964420 8000260862 9091205525 14545928840 16000521724 18182411050 20000652155 29091857680 32001043448 36364822100 40001304310 45456027625 64002086896 72729644200 80002608620 90912055250 100003260775 145459288400 160005217240 181824110500 200006521550 227280138125 320010434480 363648221000 400013043100 454560276250 500016303875 727296442000 800026086200 909120552500 1000032607750 1600052172400 1818241105000 2000065215500 2500081519375 3636482210000 4000130431000 5000163038750 8000260862000 10000326077500 20000652155000 40001304310000