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544013435004 = 2231331151174449
BaseRepresentation
bin1111110101010011011…
…10100100000001111100
31221000012020020212112220
413322221232210001330
532403114414410004
61053525531525340
754206105621004
oct7725156440174
91830166225486
10544013435004
1119a795446676
1289524bb9850
133c3b9846c40
141c48a841004
15e23eb45dd9
hex7ea9ba407c

544013435004 has 96 divisors (see below), whose sum is σ = 1412058009600. Its totient is φ = 161879731200.

The previous prime is 544013434967. The next prime is 544013435029. The reversal of 544013435004 is 400534310445.

It is a happy number.

It is a super-3 number, since 3×5440134350043 (a number of 36 digits) contains 333 as substring.

It is a congruent 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, 7269972 + ... + 7344420.

It is an arithmetic number, because the mean of its divisors is an integer number (14708937600).

Almost surely, 2544013435004 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 544013435004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706029004800).

544013435004 is an abundant number, since it is smaller than the sum of its proper divisors (868044574596).

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

544013435004 is a wasteful number, since it uses less digits than its factorization.

544013435004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76011 (or 76009 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 33.

Adding to 544013435004 its reverse (400534310445), we get a palindrome (944547745449).

The spelling of 544013435004 in words is "five hundred forty-four billion, thirteen million, four hundred thirty-five thousand, four".

Divisors: 1 2 3 4 6 12 13 26 31 39 52 62 78 93 124 156 186 372 403 806 1209 1511 1612 2418 3022 4533 4836 6044 9066 18132 19643 39286 46841 58929 74449 78572 93682 117858 140523 148898 187364 223347 235716 281046 297796 446694 562092 608933 893388 967837 1217866 1826799 1935674 2307919 2435732 2903511 3653598 3871348 4615838 5807022 6923757 7307196 9231676 11614044 13847514 27695028 30002947 60005894 90008841 112492439 120011788 180017682 224984878 337477317 360035364 449969756 674954634 1349909268 1462401707 2924803414 3487265609 4387205121 5849606828 6974531218 8774410242 10461796827 13949062436 17548820484 20923593654 41847187308 45334452917 90668905834 136003358751 181337811668 272006717502 544013435004