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3401012404132 = 2274143197349729
BaseRepresentation
bin110001011111011100001…
…000101101111110100100
3110001010121101212002211021
4301133130020231332210
5421210233133413012
611122223055020524
7500500154310460
oct61373410557644
913033541762737
103401012404132
1110a13a7924302
1246b18020a744
131b8938b2c335
14ba8777154a0
155d704e6e007
hex317dc22dfa4

3401012404132 has 96 divisors (see below), whose sum is σ = 7166185931520. Its totient is φ = 1381901230080.

The previous prime is 3401012404117. The next prime is 3401012404151. The reversal of 3401012404132 is 2314042101043.

It is a junction number, because it is equal to n+sod(n) for n = 3401012404097 and 3401012404106.

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 31 ways as a sum of consecutive naturals, for example, 9549844 + ... + 9899572.

It is an arithmetic number, because the mean of its divisors is an integer number (74647770120).

Almost surely, 23401012404132 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 3401012404132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3583092965760).

3401012404132 is an abundant number, since it is smaller than the sum of its proper divisors (3765173527388).

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

3401012404132 is a wasteful number, since it uses less digits than its factorization.

3401012404132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350021 (or 350019 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 3401012404132 its reverse (2314042101043), we get a palindrome (5715054505175).

The spelling of 3401012404132 in words is "three trillion, four hundred one billion, twelve million, four hundred four thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 41 43 82 86 164 172 197 287 301 394 574 602 788 1148 1204 1379 1763 2758 3526 5516 7052 8077 8471 12341 16154 16942 24682 32308 33884 49364 56539 59297 113078 118594 226156 237188 347311 349729 694622 699458 1389244 1398916 2431177 2448103 4862354 4896206 9724708 9792412 14338889 15038347 28677778 30076694 57355556 60153388 68896613 100372223 105268429 137793226 200744446 210536858 275586452 401488892 421073716 482276291 616572227 964552582 1233144454 1929105164 2466288908 2824761133 2962554359 4316005589 5649522266 5925108718 8632011178 11299044532 11850217436 17264022356 19773327931 20737880513 39546655862 41475761026 79093311724 82951522052 121464728719 242929457438 485858914876 850253101033 1700506202066 3401012404132