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420132120420 = 223553223592453
BaseRepresentation
bin1100001110100011101…
…00110110011101100100
31111011102201201001101110
412013101310312131210
523340412310323140
6521001145225020
742232160046435
oct6072164663544
91434381631343
10420132120420
111521a46a1451
1269511492170
13308064c492c
1416497c3b48c
15adde061380
hex61d1d36764

420132120420 has 96 divisors (see below), whose sum is σ = 1203942362112. Its totient is φ = 109428254208.

The previous prime is 420132120409. The next prime is 420132120427. The reversal of 420132120420 is 24021231024.

It is not an unprimeable number, because it can be changed into a prime (420132120427) 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, 412914 + ... + 1005366.

It is an arithmetic number, because the mean of its divisors is an integer number (12541066272).

Almost surely, 2420132120420 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 420132120420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601971181056).

420132120420 is an abundant number, since it is smaller than the sum of its proper divisors (783810241692).

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

420132120420 is a wasteful number, since it uses less digits than its factorization.

420132120420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592741 (or 592739 counting only the distinct ones).

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

Adding to 420132120420 its reverse (24021231024), we get a palindrome (444153351444).

The spelling of 420132120420 in words is "four hundred twenty billion, one hundred thirty-two million, one hundred twenty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 159 212 223 265 318 446 530 636 669 795 892 1060 1115 1338 1590 2230 2676 3180 3345 4460 6690 11819 13380 23638 35457 47276 59095 70914 118190 141828 177285 236380 354570 592453 709140 1184906 1777359 2369812 2962265 3554718 5924530 7109436 8886795 11849060 17773590 31400009 35547180 62800018 94200027 125600036 132117019 157000045 188400054 264234038 314000090 376800108 396351057 471000135 528468076 628000180 660585095 792702114 942000270 1321170190 1585404228 1884000540 1981755285 2642340380 3963510570 7002202007 7927021140 14004404014 21006606021 28008808028 35011010035 42013212042 70022020070 84026424084 105033030105 140044040140 210066060210 420132120420