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134413522944 = 2113179122219
BaseRepresentation
bin111110100101110101…
…0111001100000000000
3110211221111202102220120
41331023222321200000
54200234330213234
6141425420140240
712465615044121
oct1751352714000
9424844672816
10134413522944
1152005a25258
1222072997680
13c8a1390a7c
146711704048
15376a56e049
hex1f4bab9800

134413522944 has 96 divisors (see below), whose sum is σ = 360353448000. Its totient is φ = 44553838592.

The previous prime is 134413522913. The next prime is 134413522963. The reversal of 134413522944 is 449225314431.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 134413522896 and 134413522905.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1038667 + ... + 1160885.

It is an arithmetic number, because the mean of its divisors is an integer number (3753681750).

Almost surely, 2134413522944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134413522944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180176724000).

134413522944 is an abundant number, since it is smaller than the sum of its proper divisors (225939925056).

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

134413522944 is a wasteful number, since it uses less digits than its factorization.

134413522944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122423 (or 122403 counting only the distinct ones).

The product of its digits is 414720, while the sum is 42.

The spelling of 134413522944 in words is "one hundred thirty-four billion, four hundred thirteen million, five hundred twenty-two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 179 192 256 358 384 512 537 716 768 1024 1074 1432 1536 2048 2148 2864 3072 4296 5728 6144 8592 11456 17184 22912 34368 45824 68736 91648 122219 137472 183296 244438 274944 366592 366657 488876 549888 733314 977752 1099776 1466628 1955504 2933256 3911008 5866512 7822016 11733024 15644032 21877201 23466048 31288064 43754402 46932096 62576128 65631603 87508804 93864192 125152256 131263206 175017608 187728384 250304512 262526412 350035216 375456768 525052824 700070432 750913536 1050105648 1400140864 2100211296 2800281728 4200422592 5600563456 8400845184 11201126912 16801690368 22402253824 33603380736 44804507648 67206761472 134413522944