Search a number
-
+
134220432120 = 23358398313709
BaseRepresentation
bin111110100000000101…
…0010100001011111000
3110211110001102102002120
41331000022110023320
54144340412311440
6141354321401240
712461051564115
oct1750012241370
9424401372076
10134220432120
1151a16a31265
122201a199220
13c870385548
1466d3bdd90c
15375862bdd0
hex1f402942f8

134220432120 has 128 divisors (see below), whose sum is σ = 407956953600. Its totient is φ = 35322335744.

The previous prime is 134220432089. The next prime is 134220432251. The reversal of 134220432120 is 21234022431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 9783826 + ... + 9797534.

It is an arithmetic number, because the mean of its divisors is an integer number (3187163700).

Almost surely, 2134220432120 is an apocalyptic number.

134220432120 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 134220432120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203978476800).

134220432120 is an abundant number, since it is smaller than the sum of its proper divisors (273736521480).

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

134220432120 is a wasteful number, since it uses less digits than its factorization.

134220432120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14789 (or 14785 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 134220432120 its reverse (21234022431), we get a palindrome (155454454551).

The spelling of 134220432120 in words is "one hundred thirty-four billion, two hundred twenty million, four hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 83 120 166 249 332 415 498 664 830 983 996 1245 1660 1966 1992 2490 2949 3320 3932 4915 4980 5898 7864 9830 9960 11796 13709 14745 19660 23592 27418 29490 39320 41127 54836 58980 68545 81589 82254 109672 117960 137090 163178 164508 205635 244767 274180 326356 329016 407945 411270 489534 548360 652712 815890 822540 979068 1137847 1223835 1631780 1645080 1958136 2275694 2447670 3263560 3413541 4551388 4895340 5689235 6827082 9102776 9790680 11378470 13475947 13654164 17067705 22756940 26951894 27308328 34135410 40427841 45513880 53903788 67379735 68270820 80855682 107807576 134759470 136541640 161711364 202139205 269518940 323422728 404278410 539037880 808556820 1118503601 1617113640 2237007202 3355510803 4474014404 5592518005 6711021606 8948028808 11185036010 13422043212 16777554015 22370072020 26844086424 33555108030 44740144040 67110216060 134220432120