Search a number
-
+
3327913482240 = 21135108330517
BaseRepresentation
bin110000011011010111000…
…110011101100000000000
3102210010221000100010021210
4300123113012131200000
5414011031322412430
611024453343250120
7462301540603224
oct60332706354000
912703830303253
103327913482240
1110733a6447366
12458b7b5a9940
131b1a896765b9
14b7101306784
155b8777792b0
hex306d719d800

3327913482240 has 96 divisors (see below), whose sum is σ = 10646723309040. Its totient is φ = 887443587072.

The previous prime is 3327913482221. The next prime is 3327913482301. The reversal of 3327913482240 is 422843197233.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×33279134822402 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3327913482240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54134539 + ... + 54195978.

Almost surely, 23327913482240 is an apocalyptic number.

3327913482240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3327913482240 is an abundant number, since it is smaller than the sum of its proper divisors (7318809826800).

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

3327913482240 is a wasteful number, since it uses less digits than its factorization.

3327913482240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108330547 (or 108330527 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 48.

The spelling of 3327913482240 in words is "three trillion, three hundred twenty-seven billion, nine hundred thirteen million, four hundred eighty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2048 2560 3072 3840 5120 6144 7680 10240 15360 30720 108330517 216661034 324991551 433322068 541652585 649983102 866644136 1083305170 1299966204 1624957755 1733288272 2166610340 2599932408 3249915510 3466576544 4333220680 5199864816 6499831020 6933153088 8666441360 10399729632 12999662040 13866306176 17332882720 20799459264 25999324080 27732612352 34665765440 41598918528 51998648160 55465224704 69331530880 83197837056 103997296320 110930449408 138663061760 166395674112 207994592640 221860898816 277326123520 332791348224 415989185280 554652247040 665582696448 831978370560 1109304494080 1663956741120 3327913482240