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144264132 = 22336719937
BaseRepresentation
bin10001001100101…
…00101111000100
3101001110101012000
420212110233010
5243412423012
622152025300
73401140065
oct1046245704
9331411160
10144264132
1174484861
1240392230
1323b711bc
141523456c
15c9e9ddc
hex8994bc4

144264132 has 48 divisors (see below), whose sum is σ = 379619520. Its totient is φ = 47367936.

The previous prime is 144264089. The next prime is 144264157. The reversal of 144264132 is 231462441.

It is a happy number.

144264132 is a `hidden beast` number, since 14 + 4 + 2 + 641 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 144264096 and 144264105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2733 + ... + 17204.

It is an arithmetic number, because the mean of its divisors is an integer number (7908740).

Almost surely, 2144264132 is an apocalyptic number.

144264132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144264132 is an abundant number, since it is smaller than the sum of its proper divisors (235355388).

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

144264132 is a wasteful number, since it uses less digits than its factorization.

144264132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20017 (or 20009 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 144264132 is about 12011.0004579136. Note that the first 3 decimals coincide. The cubic root of 144264132 is about 524.4685560922.

The spelling of 144264132 in words is "one hundred forty-four million, two hundred sixty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 67 108 134 201 268 402 603 804 1206 1809 2412 3618 7236 19937 39874 59811 79748 119622 179433 239244 358866 538299 717732 1076598 1335779 2153196 2671558 4007337 5343116 8014674 12022011 16029348 24044022 36066033 48088044 72132066 144264132