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144331430344240 = 2459191963158737
BaseRepresentation
bin100000110100010011000111…
…101000101011011000110000
3200221000221122112121012002011
4200310103013220223120300
5122404211232132003430
61230544535503332304
742254413251530326
oct4064230750533060
9627027575535064
10144331430344240
1141a96685797a17
1214230493bb1094
13626c51ab44159
14278d96db47d16
1511a45d211a22a
hex8344c7a2b630

144331430344240 has 40 divisors (see below), whose sum is σ = 335935723246560. Its totient is φ = 57669751028736.

The previous prime is 144331430344207. The next prime is 144331430344253. The reversal of 144331430344240 is 42443034133441.

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

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 144331430344193 and 144331430344202.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 981505849 + ... + 981652888.

It is an arithmetic number, because the mean of its divisors is an integer number (8398393081164).

Almost surely, 2144331430344240 is an apocalyptic number.

144331430344240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144331430344240 is an abundant number, since it is smaller than the sum of its proper divisors (191604292902320).

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

144331430344240 is a wasteful number, since it uses less digits than its factorization.

144331430344240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1963159669 (or 1963159663 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 40.

Adding to 144331430344240 its reverse (42443034133441), we get a palindrome (186774464477681).

The spelling of 144331430344240 in words is "one hundred forty-four trillion, three hundred thirty-one billion, four hundred thirty million, three hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 919 1838 3676 4595 7352 9190 14704 18380 36760 73520 1963158737 3926317474 7852634948 9815793685 15705269896 19631587370 31410539792 39263174740 78526349480 157052698960 1804142879303 3608285758606 7216571517212 9020714396515 14433143034424 18041428793030 28866286068848 36082857586060 72165715172120 144331430344240