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123044302044144 = 243213591114047353
BaseRepresentation
bin11011111110100001111011…
…111010100011101111110000
3121010122220211222011100000100
4123332201323322203233300
5112111424212310403034
61113405434430552400
734626441336460635
oct3376417372435760
9533586758140010
10123044302044144
1136229882822408
1211972987968700
135387049395b80
142255539a3018c
15e359e83bb099
hex6fe87bea3bf0

123044302044144 has 120 divisors (see below), whose sum is σ = 377127310276080. Its totient is φ = 37218093935616.

The previous prime is 123044302044137. The next prime is 123044302044259. The reversal of 123044302044144 is 441440203440321.

123044302044144 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 4 + 4 + 30 + 204 + 414 + 4 = 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 = 123044302044099 and 123044302044108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 556913229 + ... + 557134124.

It is an arithmetic number, because the mean of its divisors is an integer number (3142727585634).

Almost surely, 2123044302044144 is an apocalyptic number.

It is an amenable number.

123044302044144 is an abundant number, since it is smaller than the sum of its proper divisors (254083008231936).

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

123044302044144 is a wasteful number, since it uses less digits than its factorization.

123044302044144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1114047439 (or 1114047430 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 123044302044144 its reverse (441440203440321), we get a palindrome (564484505484465).

The spelling of 123044302044144 in words is "one hundred twenty-three trillion, forty-four billion, three hundred two million, forty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 59 72 78 104 117 118 144 156 177 208 234 236 312 354 468 472 531 624 708 767 936 944 1062 1416 1534 1872 2124 2301 2832 3068 4248 4602 6136 6903 8496 9204 12272 13806 18408 27612 36816 55224 110448 1114047353 2228094706 3342142059 4456189412 6684284118 8912378824 10026426177 13368568236 14482615589 17824757648 20052852354 26737136472 28965231178 40105704708 43447846767 53474272944 57930462356 65728793827 80211409416 86895693534 115860924712 130343540301 131457587654 160422818832 173791387068 197186381481 231721849424 260687080602 262915175308 347582774136 394372762962 521374161204 525830350616 591559144443 695165548272 788745525924 854474319751 1042748322408 1051660701232 1183118288886 1577491051848 1708948639502 2085496644816 2366236577772 2563422959253 3154982103696 3417897279004 4732473155544 5126845918506 6835794558008 7690268877759 9464946311088 10253691837012 13671589116016 15380537755518 20507383674024 30761075511036 41014767348048 61522151022072 123044302044144