Search a number
-
+
134341501440 = 293518196643
BaseRepresentation
bin111110100011101100…
…0001010001000000000
3110211202111020100222110
41331013120022020000
54200112411021230
6141414324335320
712464051630646
oct1750730121000
9424674210873
10134341501440
1151a79303453
1222052844540
13c88c4950b3
146705d17196
1537640944b0
hex1f4760a200

134341501440 has 160 divisors (see below), whose sum is σ = 431850234816. Its totient is φ = 35626106880.

The previous prime is 134341501423. The next prime is 134341501529. The reversal of 134341501440 is 44105143431.

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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 134341501398 and 134341501407.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1341759 + ... + 1438401.

Almost surely, 2134341501440 is an apocalyptic number.

134341501440 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 134341501440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215925117408).

134341501440 is an abundant number, since it is smaller than the sum of its proper divisors (297508733376).

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

134341501440 is an equidigital number, since it uses as much as digits as its factorization.

134341501440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96850 (or 96834 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 134341501440 its reverse (44105143431), we get a palindrome (178446644871).

The spelling of 134341501440 in words is "one hundred thirty-four billion, three hundred forty-one million, five hundred one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 181 192 240 256 320 362 384 480 512 543 640 724 768 905 960 1086 1280 1448 1536 1810 1920 2172 2560 2715 2896 3620 3840 4344 5430 5792 7240 7680 8688 10860 11584 14480 17376 21720 23168 28960 34752 43440 46336 57920 69504 86880 92672 96643 115840 139008 173760 193286 231680 278016 289929 347520 386572 463360 483215 579858 695040 773144 966430 1159716 1390080 1449645 1546288 1932860 2319432 2899290 3092576 3865720 4638864 5798580 6185152 7731440 9277728 11597160 12370304 15462880 17492383 18555456 23194320 24740608 30925760 34984766 37110912 46388640 49481216 52477149 61851520 69969532 74221824 87461915 92777280 104954298 123703040 139939064 148443648 174923830 185554560 209908596 247406080 262385745 279878128 349847660 371109120 419817192 524771490 559756256 699695320 742218240 839634384 1049542980 1119512512 1399390640 1679268768 2099085960 2239025024 2798781280 3358537536 4198171920 4478050048 5597562560 6717075072 8396343840 8956100096 11195125120 13434150144 16792687680 22390250240 26868300288 33585375360 44780500480 67170750720 134341501440