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141344312304 = 243131758722699
BaseRepresentation
bin1000001110100011000…
…1110000101111110000
3111111211112021000112210
42003220301300233300
54303433120443204
6144533243052120
713132433555106
oct2035061605760
9444745230483
10141344312304
1154a421a7948
1223487b11040
1310437243570
146babda5c76
153a23c66389
hex20e8c70bf0

141344312304 has 160 divisors (see below), whose sum is σ = 417085804800. Its totient is φ = 40860758016.

The previous prime is 141344312303. The next prime is 141344312311. The reversal of 141344312304 is 403213443141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141344312303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6215547 + ... + 6238245.

It is an arithmetic number, because the mean of its divisors is an integer number (2606786280).

Almost surely, 2141344312304 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 141344312304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208542902400).

141344312304 is an abundant number, since it is smaller than the sum of its proper divisors (275741492496).

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

141344312304 is a wasteful number, since it uses less digits than its factorization.

141344312304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23327 (or 23321 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 141344312304 its reverse (403213443141), we get a palindrome (544557755445).

The spelling of 141344312304 in words is "one hundred forty-one billion, three hundred forty-four million, three hundred twelve thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 34 39 48 51 52 68 78 102 104 136 156 204 208 221 272 312 408 442 587 624 663 816 884 1174 1326 1761 1768 2348 2652 3522 3536 4696 5304 7044 7631 9392 9979 10608 14088 15262 19958 22699 22893 28176 29937 30524 39916 45398 45786 59874 61048 68097 79832 90796 91572 119748 122096 129727 136194 159664 181592 183144 239496 259454 272388 295087 363184 366288 385883 389181 478992 518908 544776 590174 771766 778362 885261 1037816 1089552 1157649 1180348 1543532 1556724 1770522 2075632 2315298 2360696 3087064 3113448 3541044 4630596 4721392 5016479 6174128 6226896 7082088 9261192 10032958 13324313 14164176 15049437 18522384 20065916 26648626 30098874 39972939 40131832 53297252 60197748 79945878 80263664 106594504 120395496 159891756 173216069 213189008 226513321 240790992 319783512 346432138 453026642 519648207 639567024 679539963 692864276 906053284 1039296414 1359079926 1385728552 1812106568 2078592828 2718159852 2771457104 2944673173 3624213136 4157185656 5436319704 5889346346 8314371312 8834019519 10872639408 11778692692 17668039038 23557385384 35336078076 47114770768 70672156152 141344312304