Search a number
-
+
31443130393444 = 22711229677472711
BaseRepresentation
bin1110010011000111011001…
…00111100010001101100100
311010022221012211010112222101
413021203230213202031210
513110131012340042234
6150512435155541444
76423456040342450
oct711435447421544
9133287184115871
1031443130393444
11a022a58428300
123639a808ba884
1314710c7805793
147a9bd9bcd660
15397d9466e814
hex1c98ec9e2364

31443130393444 has 144 divisors (see below), whose sum is σ = 71612237571840. Its totient is φ = 11810640441600.

The previous prime is 31443130393429. The next prime is 31443130393459. The reversal of 31443130393444 is 44439303134413.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (31443130393429) and next prime (31443130393459).

It is a super-2 number, since 2×314431303934442 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31443130393394 and 31443130393403.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66280249 + ... + 66752959.

It is an arithmetic number, because the mean of its divisors is an integer number (497307205360).

Almost surely, 231443130393444 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 31443130393444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35806118785920).

31443130393444 is an abundant number, since it is smaller than the sum of its proper divisors (40169107178396).

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

31443130393444 is a wasteful number, since it uses less digits than its factorization.

31443130393444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473450 (or 473437 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 46.

The spelling of 31443130393444 in words is "thirty-one trillion, four hundred forty-three billion, one hundred thirty million, three hundred ninety-three thousand, four hundred forty-four".

Divisors: 1 2 4 7 11 14 22 28 29 44 58 77 116 121 154 203 242 308 319 406 484 638 677 812 847 1276 1354 1694 2233 2708 3388 3509 4466 4739 7018 7447 8932 9478 14036 14894 18956 19633 24563 29788 39266 49126 52129 78532 81917 98252 104258 137431 163834 208516 215963 274862 327668 431926 472711 549724 573419 863852 945422 1146838 1511741 1890844 2293676 2375593 3023482 3308977 4751186 5199821 6046964 6617954 9502372 10399642 13235908 13708619 16629151 20799284 27417238 33258302 36398747 54834476 57198031 66516604 72797494 95960333 114396062 145594988 150794809 191920666 228792124 301589618 320025347 383841332 400386217 603179236 640050694 800772434 1055563663 1280101388 1601544868 1658742899 2111127326 2240177429 3317485798 3520278817 4222254652 4480354858 6634971596 7040557634 8960709716 9280735063 11611200293 14081115268 18561470126 23222400586 24641951719 37122940252 38723066987 46444801172 49283903438 64965145441 77446133974 98567806876 102088085693 129930290882 154892267948 204176171386 259860581764 271061468909 408352342772 542122937818 714616599851 1084245875636 1122968942623 1429233199702 2245937885246 2858466399404 4491875770492 7860782598361 15721565196722 31443130393444