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134445474432 = 273448726627
BaseRepresentation
bin111110100110110010…
…0110010001010000000
3110212000201212202010000
41331031210302022000
54200321020140212
6141432521040000
712466453451133
oct1751544621200
9425021782100
10134445474432
1152021a68945
1222081626000
13c8a7b9a089
146715a6021a
15376d2811dc
hex1f4d932280

134445474432 has 160 divisors (see below), whose sum is σ = 400944186720. Its totient is φ = 44721455616.

The previous prime is 134445474391. The next prime is 134445474437. The reversal of 134445474432 is 234474544431.

It is a happy number.

134445474432 is a `hidden beast` number, since 1 + 34 + 4 + 4 + 547 + 44 + 32 = 666.

It is not an unprimeable number, because it can be changed into a prime (134445474437) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5035903 + ... + 5062529.

It is an arithmetic number, because the mean of its divisors is an integer number (2505901167).

Almost surely, 2134445474432 is an apocalyptic number.

134445474432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134445474432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200472093360).

134445474432 is an abundant number, since it is smaller than the sum of its proper divisors (266498712288).

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

134445474432 is an equidigital number, since it uses as much as digits as its factorization.

134445474432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27140 (or 27119 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 45.

The spelling of 134445474432 in words is "one hundred thirty-four billion, four hundred forty-five million, four hundred seventy-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 487 576 648 864 974 1152 1296 1461 1728 1948 2592 2922 3456 3896 4383 5184 5844 7792 8766 10368 11688 13149 15584 17532 23376 26298 26627 31168 35064 39447 46752 52596 53254 62336 70128 78894 79881 93504 105192 106508 140256 157788 159762 187008 210384 213016 239643 280512 315576 319524 420768 426032 479286 561024 631152 639048 718929 841536 852064 958572 1262304 1278096 1437858 1683072 1704128 1917144 2156787 2524608 2556192 2875716 3408256 3834288 4313574 5049216 5112384 5751432 7668576 8627148 10224768 11502864 12967349 15337152 17254296 23005728 25934698 30674304 34508592 38902047 46011456 51869396 69017184 77804094 92022912 103738792 116706141 138034368 155608188 207477584 233412282 276068736 311216376 350118423 414955168 466824564 622432752 700236846 829910336 933649128 1050355269 1244865504 1400473692 1659820672 1867298256 2100710538 2489731008 2800947384 3734596512 4201421076 4979462016 5601894768 7469193024 8402842152 11203789536 14938386048 16805684304 22407579072 33611368608 44815158144 67222737216 134445474432