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4234466644324 = 2273173137487793
BaseRepresentation
bin111101100111101001111…
…000010101000101100100
3112222210220021001022220221
4331213221320111011210
51023334141430104244
613001142003534124
7614634013413460
oct75475170250544
915883807038827
104234466644324
111392911034894
1258480238a344
132494019a7cb7
14108d40b714a0
1575235258784
hex3d9e9e15164

4234466644324 has 96 divisors (see below), whose sum is σ = 8926583371776. Its totient is φ = 1719525335040.

The previous prime is 4234466644319. The next prime is 4234466644333.

It is a happy number.

4234466644324 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8436972 + ... + 8924764.

It is an arithmetic number, because the mean of its divisors is an integer number (92985243456).

Almost surely, 24234466644324 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 4234466644324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4463291685888).

4234466644324 is an abundant number, since it is smaller than the sum of its proper divisors (4692116727452).

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

4234466644324 is a wasteful number, since it uses less digits than its factorization.

4234466644324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488045 (or 488043 counting only the distinct ones).

The product of its digits is 31850496, while the sum is 52.

The spelling of 4234466644324 in words is "four trillion, two hundred thirty-four billion, four hundred sixty-six million, six hundred forty-four thousand, three hundred twenty-four".

Divisors: 1 2 4 7 14 28 31 62 73 124 137 146 217 274 292 434 511 548 868 959 1022 1918 2044 2263 3836 4247 4526 8494 9052 10001 15841 16988 20002 29729 31682 40004 59458 63364 70007 118916 140014 280028 310031 487793 620062 975586 1240124 1951172 2170217 3414551 4340434 6829102 8680868 13658204 15121583 30243166 35608889 60486332 66827641 71217778 105851081 133655282 142435556 211702162 249262223 267310564 423404324 467793487 498524446 935586974 997048892 1103875559 1871173948 2071656871 2207751118 4143313742 4415502236 4878417793 7727128913 8286627484 9756835586 14501598097 15454257826 19513671172 29003196194 30908515652 34148924551 58006392388 68297849102 136595698204 151230951583 302461903166 604923806332 1058616661081 2117233322162 4234466644324