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144130220332 = 2273367286243
BaseRepresentation
bin1000011000111011010…
…1001010000100101100
3111210000200102210220121
42012032311022010230
54330134314022312
6150113522454324
713261452442000
oct2061665120454
9453020383817
10144130220332
115614182a87a
1223b24b043a4
131078c478557
146d93d9c700
153b3861a707
hex218ed4a12c

144130220332 has 48 divisors (see below), whose sum is σ = 294945817600. Its totient is φ = 61601568336.

The previous prime is 144130220329. The next prime is 144130220393. The reversal of 144130220332 is 233022031441.

It is a super-3 number, since 3×1441302203323 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 144130220297 and 144130220306.

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, 360403 + ... + 646645.

Almost surely, 2144130220332 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 144130220332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147472908800).

144130220332 is an abundant number, since it is smaller than the sum of its proper divisors (150815597268).

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

144130220332 is a wasteful number, since it uses less digits than its factorization.

144130220332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286635 (or 286619 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 144130220332 its reverse (233022031441), we get a palindrome (377152251773).

The spelling of 144130220332 in words is "one hundred forty-four billion, one hundred thirty million, two hundred twenty thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 28 49 98 196 343 367 686 734 1372 1468 2569 5138 10276 17983 35966 71932 125881 251762 286243 503524 572486 1144972 2003701 4007402 8014804 14025907 28051814 56103628 98181349 105051181 196362698 210102362 392725396 420204724 735358267 1470716534 2941433068 5147507869 10295015738 20590031476 36032555083 72065110166 144130220332