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2014412203040 = 25529434140561
BaseRepresentation
bin11101010100000100010…
…100101110010000100000
321010120112211221121210212
4131110010110232100200
5231001004010444130
64141224100313252
7265352004131516
oct35240424562040
97116484847725
102014412203040
1170734219a296
122864a66a2828
13117c5c398073
146d6d89c64b6
15375ed3d4e95
hex1d50452e420

2014412203040 has 48 divisors (see below), whose sum is σ = 4923153973080. Its totient is φ = 777979883520.

The previous prime is 2014412203031. The next prime is 2014412203093. The reversal of 2014412203040 is 403022144102.

It can be written as a sum of positive squares in 4 ways, for example, as 1654752922384 + 359659280656 = 1286372^2 + 599716^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2014412202997 and 2014412203015.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 217065641 + ... + 217074920.

Almost surely, 22014412203040 is an apocalyptic number.

2014412203040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2014412203040 is an abundant number, since it is smaller than the sum of its proper divisors (2908741770040).

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

2014412203040 is a wasteful number, since it uses less digits than its factorization.

2014412203040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434140605 (or 434140597 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 2014412203040 its reverse (403022144102), we get a palindrome (2417434347142).

The spelling of 2014412203040 in words is "two trillion, fourteen billion, four hundred twelve million, two hundred three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 160 232 290 464 580 928 1160 2320 4640 434140561 868281122 1736562244 2170702805 3473124488 4341405610 6946248976 8682811220 12590076269 13892497952 17365622440 25180152538 34731244880 50360305076 62950381345 69462489760 100720610152 125900762690 201441220304 251801525380 402882440608 503603050760 1007206101520 2014412203040