Search a number
-
+
123044220103440 = 24354871105252361
BaseRepresentation
bin11011111110100001110111…
…000001111110101100010000
3121010122220122020222022111110
4123332201313001332230100
5112111424030321302230
61113405422342413320
734626436323132516
oct3376416701765420
9533586566868443
10123044220103440
1136229840546119
1211972964431240
13538703540634c
14225552cbc04b6
15e359e10d24b0
hex6fe87707eb10

123044220103440 has 80 divisors (see below), whose sum is σ = 381515393702016. Its totient is φ = 32805055564800.

The previous prime is 123044220103433. The next prime is 123044220103481. The reversal of 123044220103440 is 44301022440321.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 123044220103398 and 123044220103407.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51457141 + ... + 53795220.

Almost surely, 2123044220103440 is an apocalyptic number.

123044220103440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123044220103440 is an abundant number, since it is smaller than the sum of its proper divisors (258471173598576).

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

123044220103440 is a wasteful number, since it uses less digits than its factorization.

123044220103440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105257248 (or 105257242 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 123044220103440 its reverse (44301022440321), we get a palindrome (167345242543761).

The spelling of 123044220103440 in words is "one hundred twenty-three trillion, forty-four billion, two hundred twenty million, one hundred three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 4871 9742 14613 19484 24355 29226 38968 48710 58452 73065 77936 97420 116904 146130 194840 233808 292260 389680 584520 1169040 105252361 210504722 315757083 421009444 526261805 631514166 842018888 1052523610 1263028332 1578785415 1684037776 2105047220 2526056664 3157570830 4210094440 5052113328 6315141660 8420188880 12630283320 25260566640 512684250431 1025368500862 1538052751293 2050737001724 2563421252155 3076105502586 4101474003448 5126842504310 6152211005172 7690263756465 8202948006896 10253685008620 12304422010344 15380527512930 20507370017240 24608844020688 30761055025860 41014740034480 61522110051720 123044220103440