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1348212393440 = 25511766029769
BaseRepresentation
bin10011100111100111101…
…110001000010111100000
311202212222020110210122122
4103213213232020113200
5134042114333042230
62511205450323412
7166255650155243
oct23474756102740
94685866423578
101348212393440
1147a856825a50
12199361729568
139a19c6c61b3
144937a70b25a
152510b8adbe5
hex139e7b885e0

1348212393440 has 48 divisors (see below), whose sum is σ = 3474711036720. Its totient is φ = 490259051520.

The previous prime is 1348212393343. The next prime is 1348212393481. The reversal of 1348212393440 is 443932128431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 1348212393391 and 1348212393400.

It is a congruent number.

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, 383013125 + ... + 383016644.

It is an arithmetic number, because the mean of its divisors is an integer number (72389813265).

Almost surely, 21348212393440 is an apocalyptic number.

1348212393440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1348212393440 is an abundant number, since it is smaller than the sum of its proper divisors (2126498643280).

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

1348212393440 is a wasteful number, since it uses less digits than its factorization.

1348212393440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766029795 (or 766029787 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 44.

The spelling of 1348212393440 in words is "one trillion, three hundred forty-eight billion, two hundred twelve million, three hundred ninety-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 766029769 1532059538 3064119076 3830148845 6128238152 7660297690 8426327459 12256476304 15320595380 16852654918 24512952608 30641190760 33705309836 42131637295 61282381520 67410619672 84263274590 122564763040 134821239344 168526549180 269642478688 337053098360 674106196720 1348212393440