Search a number
-
+
304215243443040 = 25351926673289519
BaseRepresentation
bin100010100101011101010000…
…1100001010100101101100000
31110220010200201101011010001010
41011022322201201110231200
5304333230304310134130
62555002315320140520
7121035553220532126
oct10512724141245540
91426120641133033
10304215243443040
1188a28a620596a6
122a152b51607740
13100994b36237a7
14551a14c52b916
15252850b13e0b0
hex114aea1854b60

304215243443040 has 96 divisors (see below), whose sum is σ = 958283281912320. Its totient is φ = 81123619198464.

The previous prime is 304215243443017. The next prime is 304215243443063. The reversal of 304215243443040 is 40344342512403.

It is an interprime number because it is at equal distance from previous prime (304215243443017) and next prime (304215243443063).

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

It is a self number, because there is not a number n which added to its sum of digits gives 304215243443040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90835401 + ... + 94124919.

It is an arithmetic number, because the mean of its divisors is an integer number (9982117519920).

Almost surely, 2304215243443040 is an apocalyptic number.

304215243443040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

304215243443040 is an abundant number, since it is smaller than the sum of its proper divisors (654068038469280).

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

304215243443040 is a wasteful number, since it uses less digits than its factorization.

304215243443040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3482204 (or 3482196 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 39.

Adding to 304215243443040 its reverse (40344342512403), we get a palindrome (344559585955443).

The spelling of 304215243443040 in words is "three hundred four trillion, two hundred fifteen billion, two hundred forty-three million, four hundred forty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 192667 385334 578001 770668 963335 1156002 1541336 1926670 2312004 2890005 3082672 3289519 3853340 4624008 5780010 6165344 6579038 7706680 9248016 9868557 11560020 13158076 15413360 16447595 18496032 19737114 23120040 26316152 30826720 32895190 39474228 46240080 49342785 52632304 65790380 78948456 92480160 98685570 105264608 131580760 157896912 197371140 263161520 315793824 394742280 526323040 789484560 1578969120 633781757173 1267563514346 1901345271519 2535127028692 3168908785865 3802690543038 5070254057384 6337817571730 7605381086076 9506726357595 10140508114768 12675635143460 15210762172152 19013452715190 20281016229536 25351270286920 30421524344304 38026905430380 50702540573840 60843048688608 76053810860760 101405081147680 152107621721520 304215243443040