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127426366440 = 23325353962129
BaseRepresentation
bin111011010101100110…
…1000000101111101000
3110011220120012010002100
41312223031000233220
54041432122211230
6134312221133400
712130513146342
oct1665315005750
9404816163070
10127426366440
114a04a95314a
12208429ba260
13c029933a39
14624b76c292
1534abe40660
hex1dab340be8

127426366440 has 48 divisors (see below), whose sum is σ = 414135692100. Its totient is φ = 33980364288.

The previous prime is 127426366433. The next prime is 127426366471. The reversal of 127426366440 is 44663624721.

127426366440 is a `hidden beast` number, since 1 + 2 + 7 + 4 + 2 + 636 + 6 + 4 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 119933386596 + 7492979844 = 346314^2 + 86562^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 176980705 + ... + 176981424.

Almost surely, 2127426366440 is an apocalyptic number.

127426366440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

127426366440 is an abundant number, since it is smaller than the sum of its proper divisors (286709325660).

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

127426366440 is a wasteful number, since it uses less digits than its factorization.

127426366440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353962146 (or 353962139 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

It can be divided in two parts, 1274263 and 66440, that added together give a triangular number (1340703 = T1637).

The spelling of 127426366440 in words is "one hundred twenty-seven billion, four hundred twenty-six million, three hundred sixty-six thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 353962129 707924258 1061886387 1415848516 1769810645 2123772774 2831697032 3185659161 3539621290 4247545548 5309431935 6371318322 7079242580 8495091096 10618863870 12742636644 14158485160 15928295805 21237727740 25485273288 31856591610 42475455480 63713183220 127426366440