Search a number
-
+
133076406000 = 2435341540961
BaseRepresentation
bin111101111101111111…
…0001100111011110000
3110201111022201212021210
41323323332030323300
54140020024443000
6141045013120120
712420520534026
oct1737376147360
9421438655253
10133076406000
115148a18652a
122195b029040
13c71a35b605
146625cc0716
1536dce9b350
hex1efbf8cef0

133076406000 has 160 divisors (see below), whose sum is σ = 439503494976. Its totient is φ = 34621440000.

The previous prime is 133076405999. The next prime is 133076406157. The reversal of 133076406000 is 604670331.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 24481 + ... + 516480.

Almost surely, 2133076406000 is an apocalyptic number.

133076406000 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 133076406000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219751747488).

133076406000 is an abundant number, since it is smaller than the sum of its proper divisors (306427088976).

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

133076406000 is a wasteful number, since it uses less digits than its factorization.

133076406000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541028 (or 541012 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The spelling of 133076406000 in words is "one hundred thirty-three billion, seventy-six million, four hundred six thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 41 48 50 60 75 80 82 100 120 123 125 150 164 200 205 240 246 250 300 328 375 400 410 492 500 600 615 656 750 820 984 1000 1025 1200 1230 1500 1640 1968 2000 2050 2460 3000 3075 3280 4100 4920 5125 6000 6150 8200 9840 10250 12300 15375 16400 20500 24600 30750 41000 49200 61500 82000 123000 246000 540961 1081922 1622883 2163844 2704805 3245766 4327688 5409610 6491532 8114415 8655376 10819220 12983064 13524025 16228830 21638440 22179401 25966128 27048050 32457660 40572075 43276880 44358802 54096100 64915320 66538203 67620125 81144150 88717604 108192200 110897005 129830640 133076406 135240250 162288300 177435208 202860375 216384400 221794010 266152812 270480500 324576600 332691015 354870416 405720750 443588020 532305624 540961000 554485025 649153200 665382030 811441500 887176040 1064611248 1081922000 1108970050 1330764060 1622883000 1663455075 1774352080 2217940100 2661528120 2772425125 3245766000 3326910150 4435880200 5323056240 5544850250 6653820300 8317275375 8871760400 11089700500 13307640600 16634550750 22179401000 26615281200 33269101500 44358802000 66538203000 133076406000