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51143442444 = 2234673234547
BaseRepresentation
bin101111101000011000…
…110000000000001100
311220000021102001210000
4233220120300000030
51314220210124234
635254525244300
73460245042123
oct575030600014
9156007361700
1051143442444
111a76515a306
129ab3a03690
134a909210a3
14269253aaba
1514e4e5c899
hexbe863000c

51143442444 has 60 divisors (see below), whose sum is σ = 133898293144. Its totient is φ = 17022410496.

The previous prime is 51143442439. The next prime is 51143442457. The reversal of 51143442444 is 44424434115.

51143442444 is a `hidden beast` number, since 51 + 143 + 4 + 424 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 51143442399 and 51143442408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 100779 + ... + 335325.

Almost surely, 251143442444 is an apocalyptic number.

51143442444 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51143442444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66949146572).

51143442444 is an abundant number, since it is smaller than the sum of its proper divisors (82754850700).

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

51143442444 is a wasteful number, since it uses less digits than its factorization.

51143442444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235236 (or 235225 counting only the distinct ones).

The product of its digits is 122880, while the sum is 36.

Adding to 51143442444 its reverse (44424434115), we get a palindrome (95567876559).

It can be divided in two parts, 511434 and 42444, that added together give a triangular number (553878 = T1052).

The spelling of 51143442444 in words is "fifty-one billion, one hundred forty-three million, four hundred forty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 673 1346 2019 2692 4038 6057 8076 12114 18171 24228 36342 54513 72684 109026 218052 234547 469094 703641 938188 1407282 2110923 2814564 4221846 6332769 8443692 12665538 18998307 25331076 37996614 75993228 157850131 315700262 473550393 631400524 947100786 1420651179 1894201572 2841302358 4261953537 5682604716 8523907074 12785860611 17047814148 25571721222 51143442444