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134431432320 = 273570016371
BaseRepresentation
bin111110100110010111…
…1001101111010000000
3110211222202110022221210
41331030233031322000
54200303421313240
6141431300050120
712466223215053
oct1751457157200
9424882408853
10134431432320
1152015047899
1222078993940
13c8a4cc1733
146713c46a9a
15376be0a780
hex1f4cbcde80

134431432320 has 64 divisors (see below), whose sum is σ = 428500196640. Its totient is φ = 35848381440.

The previous prime is 134431432319. The next prime is 134431432349. The reversal of 134431432320 is 23234134431.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

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

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, 35006266 + ... + 35010105.

Almost surely, 2134431432320 is an apocalyptic number.

134431432320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134431432320 is an abundant number, since it is smaller than the sum of its proper divisors (294068764320).

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

134431432320 is an equidigital number, since it uses as much as digits as its factorization.

134431432320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70016393 (or 70016381 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 134431432320 its reverse (23234134431), we get a palindrome (157665566751).

The spelling of 134431432320 in words is "one hundred thirty-four billion, four hundred thirty-one million, four hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 70016371 140032742 210049113 280065484 350081855 420098226 560130968 700163710 840196452 1050245565 1120261936 1400327420 1680392904 2100491130 2240523872 2800654840 3360785808 4200982260 4481047744 5601309680 6721571616 8401964520 8962095488 11202619360 13443143232 16803929040 22405238720 26886286464 33607858080 44810477440 67215716160 134431432320