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1433466404106 = 23113409438869
BaseRepresentation
bin10100110111000001010…
…000010111110100001010
312002001000201221021100020
4110313001100113310022
5141441214344412411
63014305251521310
7205364430252222
oct24670120276412
95061021837306
101433466404106
11502a25462000
121b1994bb9236
13a52381a4959
144d547189082
152744b25b606
hex14dc1417d0a

1433466404106 has 64 divisors (see below), whose sum is σ = 3161127945600. Its totient is φ = 433320708480.

The previous prime is 1433466404093. The next prime is 1433466404171. The reversal of 1433466404106 is 6014046643341.

It is a happy number.

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, 3046840 + ... + 3485708.

It is an arithmetic number, because the mean of its divisors is an integer number (49392624150).

Almost surely, 21433466404106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1433466404106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1580563972800).

1433466404106 is an abundant number, since it is smaller than the sum of its proper divisors (1727661541494).

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

1433466404106 is a wasteful number, since it uses less digits than its factorization.

1433466404106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439316 (or 439294 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 42.

The spelling of 1433466404106 in words is "one trillion, four hundred thirty-three billion, four hundred sixty-six million, four hundred four thousand, one hundred six".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 409 726 818 1227 1331 2454 2662 3993 4499 7986 8998 13497 26994 49489 98978 148467 296934 438869 544379 877738 1088758 1316607 1633137 2633214 3266274 4827559 9655118 14482677 28965354 53103149 106206298 159309447 179497421 318618894 358994842 538492263 584134639 1076984526 1168269278 1752403917 1974471631 3504807834 3948943262 5923414893 11846829786 21719187941 43438375882 65157563823 130315127646 238911067351 477822134702 716733202053 1433466404106