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134180321940 = 223257257414367
BaseRepresentation
bin111110011110111000…
…1010011101010010100
3110211100020221121021100
41330331301103222110
54144300130300230
6141350325550100
712460053626610
oct1747561235224
9424306847240
10134180321940
11519a6325955
1222008875330
13c864c80802
1466cc75c340
153754d57660
hex1f3dc53a94

134180321940 has 144 divisors (see below), whose sum is σ = 466969531392. Its totient is φ = 30550376448.

The previous prime is 134180321927. The next prime is 134180321953. The reversal of 134180321940 is 49123081431.

It is an interprime number because it is at equal distance from previous prime (134180321927) and next prime (134180321953).

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

It is a junction number, because it is equal to n+sod(n) for n = 134180321895 and 134180321904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116637 + ... + 531003.

It is an arithmetic number, because the mean of its divisors is an integer number (3242843968).

Almost surely, 2134180321940 is an apocalyptic number.

134180321940 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 134180321940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233484765696).

134180321940 is an abundant number, since it is smaller than the sum of its proper divisors (332789209452).

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

134180321940 is a wasteful number, since it uses less digits than its factorization.

134180321940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414646 (or 414641 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 134180321940 in words is "one hundred thirty-four billion, one hundred eighty million, three hundred twenty-one thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 257 315 420 514 630 771 1028 1260 1285 1542 1799 2313 2570 3084 3598 3855 4626 5140 5397 7196 7710 8995 9252 10794 11565 15420 16191 17990 21588 23130 26985 32382 35980 46260 53970 64764 80955 107940 161910 323820 414367 828734 1243101 1657468 2071835 2486202 2900569 3729303 4143670 4972404 5801138 6215505 7458606 8287340 8701707 11602276 12431010 14502845 14917212 17403414 18646515 24862020 26105121 29005690 34806828 37293030 43508535 52210242 58011380 74586060 87017070 104420484 106492319 130525605 174034140 212984638 261051210 319476957 425969276 522102420 532461595 638953914 745446233 958430871 1064923190 1277907828 1490892466 1597384785 1916861742 2129846380 2236338699 2981784932 3194769570 3727231165 3833723484 4472677398 4792154355 6389539140 6709016097 7454462330 8945354796 9584308710 11181693495 13418032194 14908924660 19168617420 22363386990 26836064388 33545080485 44726773980 67090160970 134180321940