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31440300223024 = 2471143163019397
BaseRepresentation
bin1110010011000010000111…
…11011010010101000110000
311010022122220120200000000201
413021201003323102220300
513110104213324114044
6150511250255324544
76423325643315650
oct711410373225060
9133278816600021
1031440300223024
11a021835913390
123639410b20754
131470a66373b24
147a9a0bd94360
15397c7ae757d4
hex1c9843ed2a30

31440300223024 has 160 divisors (see below), whose sum is σ = 76143092815872. Its totient is φ = 12217806720000.

The previous prime is 31440300223009. The next prime is 31440300223067. The reversal of 31440300223024 is 42032200304413.

It is a super-2 number, since 2×314403002230242 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 31440300222983 and 31440300223001.

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, 3345775894 + ... + 3345785290.

Almost surely, 231440300223024 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 31440300223024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38071546407936).

31440300223024 is an abundant number, since it is smaller than the sum of its proper divisors (44702792592848).

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

31440300223024 is a wasteful number, since it uses less digits than its factorization.

31440300223024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16155 (or 16149 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 31440300223024 its reverse (42032200304413), we get a palindrome (73472500527437).

The spelling of 31440300223024 in words is "thirty-one trillion, four hundred forty billion, three hundred million, two hundred twenty-three thousand, twenty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 308 431 616 862 1232 1724 3017 3448 4741 6034 6301 6896 9397 9482 12068 12602 18794 18964 24136 25204 33187 37588 37928 44107 48272 50408 65779 66374 69311 75176 75856 88214 100816 103367 131558 132748 138622 150352 176428 206734 263116 265496 277244 352856 413468 485177 526232 530992 554488 705712 723569 826936 970354 1052464 1108976 1447138 1653872 1940708 2715731 2894276 3881416 4050107 5431462 5788552 7762832 8100214 10862924 11577104 16200428 19010117 21725848 28350749 29873041 32400856 38020234 43451696 44551177 56701498 59210497 59746082 64801712 76040468 89102354 113402996 118420994 119492164 152080936 178204708 209111287 226805992 236841988 238984328 304161872 311858239 356409416 414473479 418222574 453611984 473683976 477968656 623716478 651315467 712818832 828946958 836445148 947367952 1247432956 1302630934 1657893916 1672890296 2494865912 2605261868 3315787832 3345780592 4559208269 4989731824 5210523736 6631575664 9118416538 10421047472 18236833076 25519724207 36473666152 51039448414 72947332304 102078896828 178638069449 204157793656 280716966277 357276138898 408315587312 561433932554 714552277796 1122867865108 1429104555592 1965018763939 2245735730216 2858209111184 3930037527878 4491471460432 7860075055756 15720150111512 31440300223024