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420151422144402 = 2331317334710518749
BaseRepresentation
bin101111110001000000010000…
…0010001001100111110010010
32001002122002021000012120001000
41133202000200101030332102
5420032230103032110102
64045330522043122430
7154332636625651134
oct13742004021147622
92032562230176030
10420151422144402
11111967243525a33
123b1581b1213416
1315059155913bb0
1475a761a091054
15338918186001c
hex17e202044cf92

420151422144402 has 128 divisors (see below), whose sum is σ = 1064955276000000. Its totient is φ = 121636445672448.

The previous prime is 420151422144401. The next prime is 420151422144413. The reversal of 420151422144402 is 204441224151024.

420151422144402 is a `hidden beast` number, since 4 + 2 + 0 + 1 + 51 + 422 + 144 + 40 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (420151422144401) 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, 34683724 + ... + 45202472.

It is an arithmetic number, because the mean of its divisors is an integer number (8319963093750).

Almost surely, 2420151422144402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420151422144402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532477638000000).

420151422144402 is an abundant number, since it is smaller than the sum of its proper divisors (644803853855598).

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

420151422144402 is a wasteful number, since it uses less digits than its factorization.

420151422144402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10522137 (or 10522131 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 36.

Adding to 420151422144402 its reverse (204441224151024), we get a palindrome (624592646295426).

The spelling of 420151422144402 in words is "four hundred twenty trillion, one hundred fifty-one billion, four hundred twenty-two million, one hundred forty-four thousand, four hundred two".

Divisors: 1 2 3 6 9 13 17 18 26 27 34 39 51 54 78 102 117 153 221 234 306 351 442 459 663 702 918 1326 1989 3347 3978 5967 6694 10041 11934 20082 30123 43511 56899 60246 87022 90369 113798 130533 170697 180738 261066 341394 391599 512091 739687 783198 1024182 1174797 1479374 1536273 2219061 2349594 3072546 4438122 6657183 10518749 13314366 19971549 21037498 31556247 39943098 63112494 94668741 136743737 178818733 189337482 273487474 284006223 357637466 410231211 536456199 568012446 820462422 1072912398 1230693633 1609368597 2324643529 2461387266 3218737194 3692080899 4649287058 4828105791 6973930587 7384161798 9656211582 13947861174 20921791761 35206252903 41843583522 62765375283 70412505806 105618758709 125530750566 211237517418 316856276127 457681287739 598506299351 633712552254 915362575478 950568828381 1197012598702 1373043863217 1795518898053 1901137656762 2746087726434 3591037796106 4119131589651 5386556694159 7780581891563 8238263179302 10773113388318 12357394768953 15561163783126 16159670082477 23341745674689 24714789537906 32319340164954 46683491349378 70025237024067 140050474048134 210075711072201 420151422144402