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31444441424 = 241113110631283
BaseRepresentation
bin11101010010001111…
…000001100101010000
310000011102021010111122
4131102033001211100
51003344234111144
622240111301412
72162136225224
oct352217014520
9100142233448
1031444441424
1112376627280
12611681a868
132c71703b76
141744208784
15c4084b7ee
hex7523c1950

31444441424 has 80 divisors (see below), whose sum is σ = 67084706304. Its totient is φ = 14159433600.

The previous prime is 31444441393. The next prime is 31444441433. The reversal of 31444441424 is 42414444413.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24507887 + ... + 24509169.

Almost surely, 231444441424 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 31444441424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33542353152).

31444441424 is an abundant number, since it is smaller than the sum of its proper divisors (35640264880).

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

31444441424 is a wasteful number, since it uses less digits than its factorization.

31444441424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2496 (or 2490 counting only the distinct ones).

The product of its digits is 98304, while the sum is 35.

Adding to 31444441424 its reverse (42414444413), we get a palindrome (73858885837).

The spelling of 31444441424 in words is "thirty-one billion, four hundred forty-four million, four hundred forty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 44 88 131 176 262 524 1048 1063 1283 1441 2096 2126 2566 2882 4252 5132 5764 8504 10264 11528 11693 14113 17008 20528 23056 23386 28226 46772 56452 93544 112904 139253 168073 187088 225808 278506 336146 557012 672292 1114024 1344584 1363829 1531783 1848803 2228048 2689168 2727658 3063566 3697606 5455316 6127132 7395212 10910632 12254264 14790424 15002119 21821264 24508528 29580848 30004238 60008476 120016952 178661599 240033904 357323198 714646396 1429292792 1965277589 2858585584 3930555178 7861110356 15722220712 31444441424