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120002003440 = 24511136365913
BaseRepresentation
bin110111111000010101…
…1010100000111110000
3102110202010221101200221
41233300223110013300
53431231003102230
6131043403222424
711445522125224
oct1576053240760
9373663841627
10120002003440
1146990003360
121b310517a14
13b415739237
145b45708784
1531c524e27a
hex1bf0ad41f0

120002003440 has 40 divisors (see below), whose sum is σ = 304368720048. Its totient is φ = 43637091840.

The previous prime is 120002003417. The next prime is 120002003507. The reversal of 120002003440 is 44300200021.

120002003440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1200020034402 (a number of 23 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 an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 68182077 + ... + 68183836.

Almost surely, 2120002003440 is an apocalyptic number.

120002003440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120002003440 is an abundant number, since it is smaller than the sum of its proper divisors (184366716608).

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

120002003440 is a wasteful number, since it uses less digits than its factorization.

120002003440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136365937 (or 136365931 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 120002003440 its reverse (44300200021), we get a palindrome (164302203461).

The spelling of 120002003440 in words is "one hundred twenty billion, two million, three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 136365913 272731826 545463652 681829565 1090927304 1363659130 1500025043 2181854608 2727318260 3000050086 5454636520 6000100172 7500125215 10909273040 12000200344 15000250430 24000400688 30000500860 60001001720 120002003440