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40341143440 = 24513157124691
BaseRepresentation
bin100101100100100001…
…001111111110010000
310212010102222102022201
4211210201033332100
51130104313042230
630311002412544
72625456030043
oct454441177620
9125112872281
1040341143440
1116121584174
12799a201154
133a5b9574a0
141d49a10c5a
1510b19215ca
hex96484ff90

40341143440 has 80 divisors (see below), whose sum is σ = 101076405696. Its totient is φ = 14885107200.

The previous prime is 40341143399. The next prime is 40341143467. The reversal of 40341143440 is 4434114304.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 40341143399 and 40341143408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1621495 + ... + 1646185.

Almost surely, 240341143440 is an apocalyptic number.

40341143440 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 40341143440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50538202848).

40341143440 is an abundant number, since it is smaller than the sum of its proper divisors (60735262256).

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

40341143440 is a wasteful number, since it uses less digits than its factorization.

40341143440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26288 (or 26282 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 40341143440 its reverse (4434114304), we get a palindrome (44775257744).

The spelling of 40341143440 in words is "forty billion, three hundred forty-one million, one hundred forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 1571 3142 6284 7855 12568 15710 20423 24691 25136 31420 40846 49382 62840 81692 98764 102115 123455 125680 163384 197528 204230 246910 320983 326768 395056 408460 493820 641966 816920 987640 1283932 1604915 1633840 1975280 2567864 3209830 5135728 6419660 12839320 25678640 38789561 77579122 155158244 193947805 310316488 387895610 504264293 620632976 775791220 1008528586 1551582440 2017057172 2521321465 3103164880 4034114344 5042642930 8068228688 10085285860 20170571720 40341143440