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40421212310000 = 245438031062877
BaseRepresentation
bin10010011000011010011000…
…00000000100100111110000
312022010020012210012101020102
421030031030000010213300
520244230120322410000
6221545125405531532
711341223215440104
oct1114151400044760
9168106183171212
1040421212310000
11119745a362a985
124649a9a273ba8
13197291c7c5012
149da57b979904
154a16ad9ee3d5
hex24c34c0049f0

40421212310000 has 100 divisors (see below), whose sum is σ = 97889622537432. Its totient is φ = 16164218208000.

The previous prime is 40421212309997. The next prime is 40421212310041. The reversal of 40421212310000 is 1321212404.

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

It is a super-2 number, since 2×404212123100002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 37498562 + ... + 38561438.

Almost surely, 240421212310000 is an apocalyptic number.

40421212310000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40421212310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48944811268716).

40421212310000 is an abundant number, since it is smaller than the sum of its proper divisors (57468410227432).

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

40421212310000 is a wasteful number, since it uses less digits than its factorization.

40421212310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066708 (or 1066687 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 40421212310000 its reverse (1321212404), we get a palindrome (40422533522404).

The spelling of 40421212310000 in words is "forty trillion, four hundred twenty-one billion, two hundred twelve million, three hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 3803 5000 7606 10000 15212 19015 30424 38030 60848 76060 95075 152120 190150 304240 380300 475375 760600 950750 1062877 1521200 1901500 2125754 2376875 3803000 4251508 4753750 5314385 7606000 8503016 9507500 10628770 17006032 19015000 21257540 26571925 38030000 42515080 53143850 85030160 106287700 132859625 212575400 265719250 425150800 531438500 664298125 1062877000 1328596250 2125754000 2657192500 4042121231 5314385000 8084242462 10628770000 16168484924 20210606155 32336969848 40421212310 64673939696 80842424620 101053030775 161684849240 202106061550 323369698480 404212123100 505265153875 808424246200 1010530307750 1616848492400 2021060615500 2526325769375 4042121231000 5052651538750 8084242462000 10105303077500 20210606155000 40421212310000