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31201044444 = 22324197383569
BaseRepresentation
bin11101000011101110…
…100010011111011100
32222112110021021121200
4131003232202133130
51002344431410234
622200014355500
72153122334103
oct350356423734
988473237550
1031201044444
11122611a3549
1260691bbb90
132c33163a9b
14171db6b03a
15c292bdd99
hex743ba27dc

31201044444 has 144 divisors (see below), whose sum is σ = 81982817280. Its totient is φ = 9998254080.

The previous prime is 31201044439. The next prime is 31201044449. The reversal of 31201044444 is 44444010213.

It is an interprime number because it is at equal distance from previous prime (31201044439) and next prime (31201044449).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31201044449) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54834592 + ... + 54835160.

It is an arithmetic number, because the mean of its divisors is an integer number (569325120).

Almost surely, 231201044444 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 31201044444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40991408640).

31201044444 is an abundant number, since it is smaller than the sum of its proper divisors (50781772836).

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

31201044444 is a wasteful number, since it uses less digits than its factorization.

31201044444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100 (or 1095 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 31201044444 its reverse (44444010213), we get a palindrome (75645054657).

The spelling of 31201044444 in words is "thirty-one billion, two hundred one million, forty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 97 123 164 194 246 291 369 383 388 492 569 582 738 766 873 1138 1149 1164 1476 1532 1707 1746 2276 2298 3414 3447 3492 3977 4596 5121 6828 6894 7954 10242 11931 13788 15703 15908 20484 23329 23862 31406 35793 37151 46658 47109 47724 55193 62812 69987 71586 74302 93316 94218 110386 111453 139974 141327 143172 148604 165579 188436 209961 217927 220772 222906 279948 282654 331158 334359 419922 435854 445812 496737 565308 653781 662316 668718 839844 871708 993474 1307562 1337436 1523191 1961343 1986948 2262913 2615124 3046382 3922686 4525826 4569573 6092764 6788739 7845372 8935007 9051652 9139146 13577478 13708719 17870014 18278292 20366217 21138919 26805021 27154956 27417438 35740028 40732434 42277838 53610042 54834876 63416757 80415063 81464868 84555676 107220084 126833514 160830126 190250271 253667028 321660252 380500542 761001084 866695679 1733391358 2600087037 3466782716 5200174074 7800261111 10400348148 15600522222 31201044444