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301400021442 = 2313171395033251
BaseRepresentation
bin1000110001011001101…
…01110101100111000010
31001210222002022111010010
410120230311311213002
514414231401141232
6350243344245350
730526654624452
oct4305465654702
91053862274103
10301400021442
11106906500113
124a4b6310856
1322563bb7070
141083305bd62
157c9055a0cc
hex462cd759c2

301400021442 has 128 divisors (see below), whose sum is σ = 693890426880. Its totient is φ = 86456448000.

The previous prime is 301400021413. The next prime is 301400021449. The reversal of 301400021442 is 244120004103.

It is not an unprimeable number, because it can be changed into a prime (301400021449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 92708317 + ... + 92711567.

It is an arithmetic number, because the mean of its divisors is an integer number (5421018960).

Almost surely, 2301400021442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 301400021442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346945213440).

301400021442 is an abundant number, since it is smaller than the sum of its proper divisors (392490405438).

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

301400021442 is a wasteful number, since it uses less digits than its factorization.

301400021442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3928.

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 301400021442 its reverse (244120004103), we get a palindrome (545520025545).

The spelling of 301400021442 in words is "three hundred one billion, four hundred million, twenty-one thousand, four hundred forty-two".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 139 221 278 417 442 503 663 834 1006 1326 1509 1807 2363 3018 3251 3614 4726 5421 6502 6539 7089 8551 9753 10842 13078 14178 17102 19506 19617 25653 30719 39234 42263 51306 55267 61438 69917 84526 92157 110534 111163 126789 139834 165801 184314 209751 222326 253578 331602 333489 419502 451889 666978 718471 903778 908921 1188589 1355667 1436942 1635253 1817842 2155413 2377178 2711334 2726763 3270506 3565767 4310826 4905759 5453526 5874557 7131534 7682113 9811518 11749114 15364226 15451657 17623671 21258289 23046339 27799301 30903314 35247342 42516578 46092678 46354971 55598602 63774867 83397903 92709942 99867469 127549734 166795806 199734938 227300167 299602407 361390913 454600334 599204814 681900501 722781826 1084172739 1363801002 2168345478 2954902171 3864102839 5909804342 7728205678 8864706513 11592308517 17729413026 23184617034 50233336907 100466673814 150700010721 301400021442