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144795430120 = 235111013258223
BaseRepresentation
bin1000011011011001111…
…0101110110011101000
3111211202001010222012011
42012312132232303220
54333020112230440
6150303524325304
713314110564065
oct2066636566350
9454661128164
10144795430120
1156453277830
122408b843834
1310867226503
14701847bc6c
153b76c199ea
hex21b67aece8

144795430120 has 64 divisors (see below), whose sum is σ = 358925955840. Its totient is φ = 52131552000.

The previous prime is 144795430103. The next prime is 144795430123. The reversal of 144795430120 is 21034597441.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (144795430123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1584672 + ... + 1673551.

It is an arithmetic number, because the mean of its divisors is an integer number (5608218060).

Almost surely, 2144795430120 is an apocalyptic number.

144795430120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144795430120 is an abundant number, since it is smaller than the sum of its proper divisors (214130525720).

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

144795430120 is a wasteful number, since it uses less digits than its factorization.

144795430120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3258346 (or 3258342 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 144795430120 in words is "one hundred forty-four billion, seven hundred ninety-five million, four hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 101 110 202 220 404 440 505 808 1010 1111 2020 2222 4040 4444 5555 8888 11110 22220 44440 3258223 6516446 13032892 16291115 26065784 32582230 35840453 65164460 71680906 130328920 143361812 179202265 286723624 329080523 358404530 658161046 716809060 1316322092 1433618120 1645402615 2632644184 3290805230 3619885753 6581610460 7239771506 13163220920 14479543012 18099428765 28959086024 36198857530 72397715060 144795430120