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130144002414 = 231371793472549
BaseRepresentation
bin111100100110100101…
…1111110000101101110
3110102220221220022210120
41321031023332011232
54113013331034124
6135442021345410
712255042524316
oct1711513760556
9412827808716
10130144002414
1150214995298
1221280b68266
13c37098386a
146428672446
1535ba80ad79
hex1e4d2fe16e

130144002414 has 64 divisors (see below), whose sum is σ = 264516192000. Its totient is φ = 42683932928.

The previous prime is 130144002413. The next prime is 130144002419. The reversal of 130144002414 is 414200441031.

It is a super-2 number, since 2×1301440024142 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130144002413) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51055612 + ... + 51058160.

It is an arithmetic number, because the mean of its divisors is an integer number (4133065500).

Almost surely, 2130144002414 is an apocalyptic number.

130144002414 is an abundant number, since it is smaller than the sum of its proper divisors (134372189586).

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

130144002414 is a wasteful number, since it uses less digits than its factorization.

130144002414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3217.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 130144002414 its reverse (414200441031), we get a palindrome (544344443445).

The spelling of 130144002414 in words is "one hundred thirty billion, one hundred forty-four million, two thousand, four hundred fourteen".

Divisors: 1 2 3 6 137 179 274 347 358 411 537 694 822 1041 1074 2082 2549 5098 7647 15294 24523 47539 49046 62113 73569 95078 124226 142617 147138 186339 285234 349213 372678 456271 698426 884503 912542 1047639 1368813 1769006 2095278 2653509 2737626 5307018 8509481 17018962 25528443 51056886 62509127 121176911 125018254 158326037 187527381 242353822 316652074 363530733 375054762 474978111 727061466 949956222 21690667069 43381334138 65072001207 130144002414