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3432403200044 = 22713291009322261
BaseRepresentation
bin110001111100101011001…
…011000110100000101100
3110011010122002011202112002
4301330223023012200230
5422214030204400134
611144454012431432
7502661102546060
oct61745313064054
913133562152462
103432403200044
11110374613a945
12475280a78578
131bb89c39c6a0
14bc1b4757aa0
155e440c2087e
hex31f2b2c682c

3432403200044 has 96 divisors (see below), whose sum is σ = 7655398262400. Its totient is φ = 1309747138560.

The previous prime is 3432403200041. The next prime is 3432403200091. The reversal of 3432403200044 is 4400023042343.

It is a super-3 number, since 3×34324032000443 (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (3432403200041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10489874 + ... + 10812134.

It is an arithmetic number, because the mean of its divisors is an integer number (79743731900).

Almost surely, 23432403200044 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 3432403200044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3827699131200).

3432403200044 is an abundant number, since it is smaller than the sum of its proper divisors (4222995062356).

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

3432403200044 is a wasteful number, since it uses less digits than its factorization.

3432403200044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323323 (or 323321 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 29.

Adding to 3432403200044 its reverse (4400023042343), we get a palindrome (7832426242387).

The spelling of 3432403200044 in words is "three trillion, four hundred thirty-two billion, four hundred three million, two hundred thousand, forty-four".

Divisors: 1 2 4 7 13 14 26 28 29 52 58 91 116 182 203 364 377 406 754 812 1009 1508 2018 2639 4036 5278 7063 10556 13117 14126 26234 28252 29261 52468 58522 91819 117044 183638 204827 322261 367276 380393 409654 644522 760786 819308 1289044 1521572 2255827 2662751 4189393 4511654 5325502 8378786 9023308 9345569 10651004 16757572 18691138 29325751 37382276 58651502 65418983 117303004 121492397 130837966 242984794 261675932 325161349 485969588 650322698 850446779 1300645396 1700893558 2276129443 3401787116 4227097537 4552258886 8454195074 9104517772 9429679121 16908390148 18859358242 29589682759 37718716484 59179365518 66007753847 118358731036 122585828573 132015507694 245171657146 264031015388 490343314292 858100800011 1716201600022 3432403200044