Search a number
-
+
30041667200 = 275259159119
BaseRepresentation
bin11011111110100111…
…110111011010000000
32212112122200211000202
4123332213313122000
5443011131322300
621445001104332
72112313646366
oct337647673200
985478624022
1030041667200
1111816813236
1259a4a880a8
132aa9bc374c
14164dbb3636
15bac609ad5
hex6fe9f7680

30041667200 has 96 divisors (see below), whose sum is σ = 75470616000. Its totient is φ = 11812920320.

The previous prime is 30041667199. The next prime is 30041667203. The reversal of 30041667200 is 276614003.

It is not an unprimeable number, because it can be changed into a prime (30041667203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 109241 + ... + 268359.

It is an arithmetic number, because the mean of its divisors is an integer number (786152250).

Almost surely, 230041667200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30041667200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37735308000).

30041667200 is an abundant number, since it is smaller than the sum of its proper divisors (45428948800).

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

30041667200 is a wasteful number, since it uses less digits than its factorization.

30041667200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159202 (or 159185 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The spelling of 30041667200 in words is "thirty billion, forty-one million, six hundred sixty-seven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 59 64 80 100 118 128 160 200 236 295 320 400 472 590 640 800 944 1180 1475 1600 1888 2360 2950 3200 3776 4720 5900 7552 9440 11800 18880 23600 37760 47200 94400 159119 188800 318238 636476 795595 1272952 1591190 2545904 3182380 3977975 5091808 6364760 7955950 9388021 10183616 12729520 15911900 18776042 20367232 25459040 31823800 37552084 46940105 50918080 63647600 75104168 93880210 101836160 127295200 150208336 187760420 234700525 254590400 300416672 375520840 469401050 509180800 600833344 751041680 938802100 1201666688 1502083360 1877604200 3004166720 3755208400 6008333440 7510416800 15020833600 30041667200