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134450081280 = 293351945169
BaseRepresentation
bin111110100110111011…
…0010110111000000000
3110212001001112210112000
41331031312112320000
54200323210100110
6141433203504000
712466540556154
oct1751566267000
9425031483460
10134450081280
1152024625059
1222083088000
13c8a8b20c18
1467164dd064
15376d8911c0
hex1f4dd96e00

134450081280 has 160 divisors (see below), whose sum is σ = 477578138400. Its totient is φ = 35853336576.

The previous prime is 134450081279. The next prime is 134450081299. The reversal of 134450081280 is 82180054431.

134450081280 is a `hidden beast` number, since 13 + 44 + 500 + 81 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 903465 + ... + 1041704.

It is an arithmetic number, because the mean of its divisors is an integer number (2984863365).

Almost surely, 2134450081280 is an apocalyptic number.

134450081280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134450081280 is an abundant number, since it is smaller than the sum of its proper divisors (343128057120).

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

134450081280 is an equidigital number, since it uses as much as digits as its factorization.

134450081280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1945201 (or 1945179 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 134450081280 in words is "one hundred thirty-four billion, four hundred fifty million, eighty-one thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 256 270 288 320 360 384 432 480 512 540 576 640 720 768 864 960 1080 1152 1280 1440 1536 1728 1920 2160 2304 2560 2880 3456 3840 4320 4608 5760 6912 7680 8640 11520 13824 17280 23040 34560 69120 1945169 3890338 5835507 7780676 9725845 11671014 15561352 17506521 19451690 23342028 29177535 31122704 35013042 38903380 46684056 52519563 58355070 62245408 70026084 77806760 87532605 93368112 105039126 116710140 124490816 140052168 155613520 175065210 186736224 210078252 233420280 248981632 262597815 280104336 311227040 350130420 373472448 420156504 466840560 497963264 525195630 560208672 622454080 700260840 746944896 840313008 933681120 995926528 1050391260 1120417344 1244908160 1400521680 1493889792 1680626016 1867362240 2100782520 2240834688 2489816320 2801043360 2987779584 3361252032 3734724480 4201565040 4481669376 4979632640 5602086720 6722504064 7469448960 8403130080 8963338752 11204173440 13445008128 14938897920 16806260160 22408346880 26890016256 33612520320 44816693760 67225040640 134450081280