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441228535406420 = 22529247558135623
BaseRepresentation
bin110010001010010111000011…
…0000111100001111101010100
32010212021000222021022002010012
41210110232012013201331110
5430313042020031001140
64202225331344415352
7161636465300450006
oct14424560607417524
92125230867262105
10441228535406420
11118652a75483a73
12415a1067917558
1315c2789821ba88
147ad5809d6c376
153602577cab265
hex1914b861e1f54

441228535406420 has 72 divisors (see below), whose sum is σ = 980050435064064. Its totient is φ = 166779854023552.

The previous prime is 441228535406363. The next prime is 441228535406453. The reversal of 441228535406420 is 24604535822144.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 278277272 + ... + 279858351.

It is an arithmetic number, because the mean of its divisors is an integer number (13611811598112).

Almost surely, 2441228535406420 is an apocalyptic number.

It is an amenable number.

441228535406420 is an abundant number, since it is smaller than the sum of its proper divisors (538821899657644).

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

441228535406420 is a wasteful number, since it uses less digits than its factorization.

441228535406420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558135737 (or 558135706 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 50.

The spelling of 441228535406420 in words is "four hundred forty-one trillion, two hundred twenty-eight billion, five hundred thirty-five million, four hundred six thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 29 47 58 94 116 145 188 235 290 470 580 841 940 1363 1682 2726 3364 4205 5452 6815 8410 13630 16820 27260 39527 79054 158108 197635 395270 790540 558135623 1116271246 2232542492 2790678115 5581356230 11162712460 16185933067 26232374281 32371866134 52464748562 64743732268 80929665335 104929497124 131161871405 161859330670 262323742810 323718661340 469392058943 524647485620 760738854149 938784117886 1521477708298 1877568235772 2346960294715 3042955416596 3803694270745 4693920589430 7607388541490 9387841178860 15214777082980 22061426770321 44122853540642 88245707081284 110307133851605 220614267703210 441228535406420