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144034503100 = 225223213129387
BaseRepresentation
bin1000011000100100100…
…0000001100110111100
3111202210000022212112221
42012021020001212330
54324440313044400
6150100223135124
713256211035005
oct2061110014674
9452700285487
10144034503100
11560a27a4024
1223ab8a444a4
13107756a4237
146d853a41ac
153b3000ec1a
hex21892019bc

144034503100 has 72 divisors (see below), whose sum is σ = 326308364928. Its totient is φ = 55081118400.

The previous prime is 144034503043. The next prime is 144034503113. The reversal of 144034503100 is 1305430441.

It is a super-2 number, since 2×1440345031002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4886607 + ... + 4915993.

It is an arithmetic number, because the mean of its divisors is an integer number (4532060624).

Almost surely, 2144034503100 is an apocalyptic number.

144034503100 is a gapful number since it is divisible by the number (10) 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 144034503100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163154182464).

144034503100 is an abundant number, since it is smaller than the sum of its proper divisors (182273861828).

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

144034503100 is a wasteful number, since it uses less digits than its factorization.

144034503100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31555 (or 31548 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 144034503100 its reverse (1305430441), we get a palindrome (145339933541).

The spelling of 144034503100 in words is "one hundred forty-four billion, thirty-four million, five hundred three thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 575 1150 2131 2300 4262 8524 10655 21310 29387 42620 49013 53275 58774 98026 106550 117548 146935 196052 213100 245065 293870 490130 587740 675901 734675 980260 1225325 1351802 1469350 2450650 2703604 2938700 3379505 4901300 6759010 13518020 16897525 33795050 62623697 67590100 125247394 250494788 313118485 626236970 1252473940 1440345031 1565592425 2880690062 3131184850 5761380124 6262369700 7201725155 14403450310 28806900620 36008625775 72017251550 144034503100