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40421431411300 = 2252312863487391
BaseRepresentation
bin10010011000011010110010…
…00011111000001001100100
312022010020210001110212201101
421030031121003320021210
520244231042420130200
6221545203234005444
711341231515661312
oct1114153103701144
9168106701425641
1040421431411300
11119746a6279a35
124649b3b716884
131972956009664
149da59cad10b2
154a16c2d7d26a
hex24c3590f8264

40421431411300 has 108 divisors (see below), whose sum is σ = 90740490236928. Its totient is φ = 15628842696000.

The previous prime is 40421431411261. The next prime is 40421431411301. The reversal of 40421431411300 is 311413412404.

It is not an unprimeable number, because it can be changed into a prime (40421431411301) 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 35 ways as a sum of consecutive naturals, for example, 82690605 + ... + 83177995.

It is an arithmetic number, because the mean of its divisors is an integer number (840189724416).

Almost surely, 240421431411300 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 40421431411300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45370245118464).

40421431411300 is an abundant number, since it is smaller than the sum of its proper divisors (50319058825628).

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

40421431411300 is a wasteful number, since it uses less digits than its factorization.

40421431411300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488330 (or 488292 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 40421431411300 its reverse (311413412404), we get a palindrome (40732844823704).

The spelling of 40421431411300 in words is "forty trillion, four hundred twenty-one billion, four hundred thirty-one million, four hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 310 620 775 863 961 1550 1726 1922 3100 3452 3844 4315 4805 8630 9610 17260 19220 21575 24025 26753 43150 48050 53506 86300 96100 107012 133765 267530 487391 535060 668825 829343 974782 1337650 1658686 1949564 2436955 2675300 3317372 4146715 4873910 8293430 9747820 12184775 15109121 16586860 20733575 24369550 30218242 41467150 48739100 60436484 75545605 82934300 151091210 302182420 377728025 420618433 468382751 755456050 841236866 936765502 1510912100 1682473732 1873531004 2103092165 2341913755 4206184330 4683827510 8412368660 9367655020 10515460825 11709568775 13039171423 21030921650 23419137550 26078342846 42061843300 46838275100 52156685692 65195857115 130391714230 260783428460 325979285575 404214314113 651958571150 808428628226 1303917142300 1616857256452 2021071570565 4042143141130 8084286282260 10105357852825 20210715705650 40421431411300