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4213462145032 = 2372191489379931
BaseRepresentation
bin111101010100000101111…
…010100001100000001000
3112220210200102101012200201
4331110011322201200020
51023013132302120112
612543345432341544
7613261343206300
oct75240572414010
915823612335621
104213462145032
111384a12599668
1258071bb448b4
132474351792aa
14107d0b2ca600
157490621d257
hex3d505ea1808

4213462145032 has 96 divisors (see below), whose sum is σ = 9680287428000. Its totient is φ = 1709575580160.

The previous prime is 4213462145017. The next prime is 4213462145071. The reversal of 4213462145032 is 2305412643124.

It is a junction number, because it is equal to n+sod(n) for n = 4213462144982 and 4213462145000.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 10900107 + ... + 11280037.

It is an arithmetic number, because the mean of its divisors is an integer number (100836327375).

Almost surely, 24213462145032 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 4213462145032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4840143714000).

4213462145032 is an abundant number, since it is smaller than the sum of its proper divisors (5466825282968).

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

4213462145032 is a wasteful number, since it uses less digits than its factorization.

4213462145032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381459 (or 381448 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 37.

Adding to 4213462145032 its reverse (2305412643124), we get a palindrome (6518874788156).

The spelling of 4213462145032 in words is "four trillion, two hundred thirteen billion, four hundred sixty-two million, one hundred forty-five thousand, thirty-two".

Divisors: 1 2 4 7 8 14 19 28 38 49 56 76 98 133 152 196 266 392 532 931 1064 1489 1862 2978 3724 5956 7448 10423 11912 20846 28291 41692 56582 72961 83384 113164 145922 198037 226328 291844 379931 396074 583688 759862 792148 1386259 1519724 1584296 2659517 2772518 3039448 5319034 5545036 7218689 10638068 11090072 14437378 18616619 21276136 28874756 37233238 50530823 57749512 74466476 101061646 148932952 202123292 353715761 404246584 565717259 707431522 1131434518 1414863044 2262869036 2829726088 3960020813 4525738072 7920041626 10748627921 15840083252 21497255842 27720145691 31680166504 42994511684 55440291382 75240395447 85989023368 110880582764 150480790894 221761165528 300961581788 526682768129 601923163576 1053365536258 2106731072516 4213462145032