Search a number
-
+
131414283448 = 23724714534909
BaseRepresentation
bin111101001100011100…
…1101101010010111000
3110120012111011021210021
41322120321231102320
54123114024032243
6140212040100224
712331365656500
oct1723071552270
9416174137707
10131414283448
1150806a34228
1221576464674
13c513bb4746
146509258a00
1536420ca6ed
hex1e98e6d4b8

131414283448 has 96 divisors (see below), whose sum is σ = 292990305600. Its totient is φ = 55072942848.

The previous prime is 131414283443. The next prime is 131414283557. The reversal of 131414283448 is 844382414131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131414283443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26767618 + ... + 26772526.

It is an arithmetic number, because the mean of its divisors is an integer number (3051982350).

Almost surely, 2131414283448 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 131414283448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146495152800).

131414283448 is an abundant number, since it is smaller than the sum of its proper divisors (161576022152).

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

131414283448 is a wasteful number, since it uses less digits than its factorization.

131414283448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6429 (or 6418 counting only the distinct ones).

The product of its digits is 294912, while the sum is 43.

Adding to 131414283448 its reverse (844382414131), we get a palindrome (975796697579).

The spelling of 131414283448 in words is "one hundred thirty-one billion, four hundred fourteen million, two hundred eighty-three thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 14 28 47 49 56 94 98 188 196 329 376 392 658 1316 1453 2303 2632 2906 4606 4909 5812 9212 9818 10171 11624 18424 19636 20342 34363 39272 40684 68291 68726 71197 81368 136582 137452 142394 230723 240541 273164 274904 284788 461446 478037 481082 546328 569576 922892 956074 962164 1615061 1845784 1912148 1924328 3230122 3346259 3824296 6460244 6692518 7132777 11305427 12920488 13385036 14265554 22610854 26770072 28531108 45221708 49929439 57062216 90443416 99858878 199717756 335240519 349506073 399435512 670481038 699012146 1340962076 1398024292 2346683633 2681924152 2796048584 4693367266 9386734532 16426785431 18773469064 32853570862 65707141724 131414283448