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1441313130 = 235437914143
BaseRepresentation
bin101010111101000…
…1011000101101010
310201110002021220210
41111322023011222
510422434010010
6355004201550
750500650045
oct12572130552
93643067823
101441313130
1167a646984
123428392b6
1319c7b4c0a
14d95c7c5c
1586805b20
hex55e8b16a

1441313130 has 64 divisors (see below), whose sum is σ = 3584655360. Its totient is φ = 370633536.

The previous prime is 1441313129. The next prime is 1441313149. The reversal of 1441313130 is 313131441.

It is a junction number, because it is equal to n+sod(n) for n = 1441313097 and 1441313106.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94839 + ... + 108981.

It is an arithmetic number, because the mean of its divisors is an integer number (56010240).

Almost surely, 21441313130 is an apocalyptic number.

1441313130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1441313130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1792327680).

1441313130 is an abundant number, since it is smaller than the sum of its proper divisors (2143342230).

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

1441313130 is a wasteful number, since it uses less digits than its factorization.

1441313130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14275.

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 1441313130 is about 37964.6299863439. The cubic root of 1441313130 is about 1129.5863811073.

Adding to 1441313130 its reverse (313131441), we get a palindrome (1754444571).

The spelling of 1441313130 in words is "one billion, four hundred forty-one million, three hundred thirteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 43 79 86 129 158 215 237 258 395 430 474 645 790 1185 1290 2370 3397 6794 10191 14143 16985 20382 28286 33970 42429 50955 70715 84858 101910 141430 212145 424290 608149 1117297 1216298 1824447 2234594 3040745 3351891 3648894 5586485 6081490 6703782 9122235 11172970 16759455 18244470 33518910 48043771 96087542 144131313 240218855 288262626 480437710 720656565 1441313130