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134404114040 = 23575354116741
BaseRepresentation
bin111110100101100011…
…1000000011001111000
3110211220212001102022122
41331023013000121320
54200224423122130
6141424442340412
712465442055660
oct1751307003170
9424825042278
10134404114040
11520006891a9
122206b7ba708
13c89c448281
1467103751a0
1537698112e5
hex1f4b1c0678

134404114040 has 128 divisors (see below), whose sum is σ = 352803496320. Its totient is φ = 45125683200.

The previous prime is 134404114037. The next prime is 134404114057. The reversal of 134404114040 is 40411404431.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8020070 + ... + 8036810.

It is an arithmetic number, because the mean of its divisors is an integer number (2756277315).

Almost surely, 2134404114040 is an apocalyptic number.

134404114040 is a gapful number since it is divisible by the number (10) 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 134404114040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176401748160).

134404114040 is an abundant number, since it is smaller than the sum of its proper divisors (218399382280).

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

134404114040 is a wasteful number, since it uses less digits than its factorization.

134404114040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17353 (or 17349 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 134404114040 its reverse (40411404431), we get a palindrome (174815518471).

The spelling of 134404114040 in words is "one hundred thirty-four billion, four hundred four million, one hundred fourteen thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 53 56 70 106 140 212 265 280 371 424 530 541 742 1060 1082 1484 1855 2120 2164 2705 2968 3710 3787 4328 5410 7420 7574 10820 14840 15148 16741 18935 21640 28673 30296 33482 37870 57346 66964 75740 83705 114692 117187 133928 143365 151480 167410 200711 229384 234374 286730 334820 401422 468748 573460 585935 669640 802844 887273 937496 1003555 1146920 1171870 1605688 1774546 2007110 2343740 3549092 4014220 4436365 4687480 6210911 7098184 8028440 8872730 9056881 12421822 17745460 18113762 24843644 31054555 35490920 36227524 45284405 49687288 62109110 63398167 72455048 90568810 124218220 126796334 181137620 248436440 253592668 316990835 362275240 480014693 507185336 633981670 960029386 1267963340 1920058772 2400073465 2535926680 3360102851 3840117544 4800146930 6720205702 9600293860 13440411404 16800514255 19200587720 26880822808 33601028510 67202057020 134404114040