Search a number
-
+
144403310196 = 22344134731327
BaseRepresentation
bin1000011001111100011…
…0111010011001110100
3111210201201022012210000
42012133012322121310
54331214221411241
6150201000031300
713301306612235
oct2063706723164
9453651265700
10144403310196
11562719a4282
1223ba0462530
1310803c138a2
146dbc36908c
153b525b0eb6
hex219f1ba674

144403310196 has 120 divisors (see below), whose sum is σ = 387832870656. Its totient is φ = 46823598720.

The previous prime is 144403310189. The next prime is 144403310197. The reversal of 144403310196 is 691013304441.

144403310196 is a `hidden beast` number, since 14 + 440 + 3 + 3 + 10 + 196 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 144403310196.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144403310197) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4593885 + ... + 4625211.

Almost surely, 2144403310196 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144403310196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193916435328).

144403310196 is an abundant number, since it is smaller than the sum of its proper divisors (243429560460).

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

144403310196 is a wasteful number, since it uses less digits than its factorization.

144403310196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31731 (or 31720 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 144403310196 in words is "one hundred forty-four billion, four hundred three million, three hundred ten thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 81 82 108 123 162 164 246 324 347 369 492 694 738 1041 1107 1388 1476 2082 2214 3123 3321 4164 4428 6246 6642 9369 12492 13284 14227 18738 28107 28454 31327 37476 42681 56214 56908 62654 85362 93981 112428 125308 128043 170724 187962 256086 281943 375924 384129 512172 563886 768258 845829 1127772 1152387 1284407 1536516 1691658 2304774 2537487 2568814 3383316 3853221 4609548 5074974 5137628 7706442 10149948 10870469 11559663 15412884 21740938 23119326 32611407 34678989 43481876 46238652 65222814 69357978 97834221 104036967 130445628 138715956 195668442 208073934 293502663 391336884 416147868 445689229 587005326 880507989 891378458 1174010652 1337067687 1761015978 1782756916 2674135374 3522031956 4011203061 5348270748 8022406122 12033609183 16044812244 24067218366 36100827549 48134436732 72201655098 144403310196