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531412400442 = 237115988122129
BaseRepresentation
bin1111011101110101010…
…01011011100100111010
31212210200001011222210010
413232322221123210322
532201313033303232
61044043312002350
753251615605630
oct7567251334472
91783601158703
10531412400442
1119540949a920
1286ba8b303b6
133b15c013981
141ba1308b350
15dc537510cc
hex7bbaa5b93a

531412400442 has 128 divisors (see below), whose sum is σ = 1349129779200. Its totient is φ = 135529574400.

The previous prime is 531412400437. The next prime is 531412400443. The reversal of 531412400442 is 244004214135.

It is not an unprimeable number, because it can be changed into a prime (531412400443) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24003234 + ... + 24025362.

It is an arithmetic number, because the mean of its divisors is an integer number (10540076400).

Almost surely, 2531412400442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 531412400442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674564889600).

531412400442 is an abundant number, since it is smaller than the sum of its proper divisors (817717378758).

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

531412400442 is a wasteful number, since it uses less digits than its factorization.

531412400442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23092.

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 531412400442 its reverse (244004214135), we get a palindrome (775416614577).

The spelling of 531412400442 in words is "five hundred thirty-one billion, four hundred twelve million, four hundred thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 59 66 77 118 154 177 231 354 413 462 649 826 881 1239 1298 1762 1947 2478 2643 3894 4543 5286 6167 9086 9691 12334 13629 18501 19382 22129 27258 29073 37002 44258 51979 58146 66387 67837 103958 132774 135674 154903 155937 203511 243419 309806 311874 363853 407022 464709 486838 571769 727706 730257 929418 1091559 1143538 1305611 1460514 1703933 1715307 2183118 2611222 3407866 3430614 3916833 4002383 5111799 7833666 8004766 9139277 10223598 12007149 14361721 18278554 19495649 24014298 27417831 28723442 38991298 43085163 54835662 58486947 86170326 100532047 116973894 136469543 201064094 214452139 272939086 301596141 409408629 428904278 603192282 643356417 818817258 1150243291 1286712834 1501164973 2300486582 3002329946 3450729873 4503494919 6901459746 8051703037 9006989838 12652676201 16103406074 24155109111 25305352402 37958028603 48310218222 75916057206 88568733407 177137466814 265706200221 531412400442