Search a number
-
+
130967444454 = 23711285730071
BaseRepresentation
bin111100111111001000…
…1001001101111100110
3110112001100100111220220
41321332101021233212
54121210131210304
6140055434505210
712314331624060
oct1717621115746
9415040314826
10130967444454
11505a7787500
1221470895206
13c472453782
1464a5b80730
153617c63ad9
hex1e7e449be6

130967444454 has 96 divisors (see below), whose sum is σ = 329437075968. Its totient is φ = 33976694400.

The previous prime is 130967444441. The next prime is 130967444473. The reversal of 130967444454 is 454444769031.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 130967444397 and 130967444406.

It is a congruent number.

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, 4340239 + ... + 4370309.

It is an arithmetic number, because the mean of its divisors is an integer number (3431636208).

Almost surely, 2130967444454 is an apocalyptic number.

130967444454 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 130967444454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164718537984).

130967444454 is an abundant number, since it is smaller than the sum of its proper divisors (198469631514).

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

130967444454 is a wasteful number, since it uses less digits than its factorization.

130967444454 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30962 (or 30951 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 51.

The spelling of 130967444454 in words is "one hundred thirty billion, nine hundred sixty-seven million, four hundred forty-four thousand, four hundred fifty-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 121 154 231 242 363 462 726 847 857 1694 1714 2541 2571 5082 5142 5999 9427 11998 17997 18854 28281 30071 35994 56562 60142 65989 90213 103697 131978 180426 197967 207394 210497 311091 330781 395934 420994 622182 631491 661562 725879 992343 1262982 1451758 1984686 2177637 2315467 3638591 4355274 4630934 6946401 7277182 10915773 13892802 21831546 25470137 25770847 50940274 51541694 76410411 77312541 152820822 154625082 180395929 283479317 360791858 541187787 566958634 850437951 1082375574 1700875902 1984355219 3118272487 3968710438 5953065657 6236544974 9354817461 11906131314 18709634922 21827907409 43655814818 65483722227 130967444454