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4702340206144 = 2672387232
BaseRepresentation
bin100010001101101100101…
…0100010100111001000000
3121122112120011200212222201
41010123121110110321000
51104020343043044034
614000120354042544
7663506242155100
oct104333124247100
917575504625881
104702340206144
111553284502829
1263b418279454
13281576047129
1412384737b200
15824ba727014
hex446d9514e40

4702340206144 has 63 divisors (see below), whose sum is σ = 10854948930267. Its totient is φ = 2015236616064.

The previous prime is 4702340206133. The next prime is 4702340206229. The reversal of 4702340206144 is 4416020432074.

It is a happy number.

The square root of 4702340206144 is 2168488.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×47023402061442 (a number of 26 digits) contains 22 as substring.

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 121415967 + ... + 121454689.

Almost surely, 24702340206144 is an apocalyptic number.

4702340206144 is the 2168488-th square number.

It is an amenable number.

4702340206144 is an abundant number, since it is smaller than the sum of its proper divisors (6152608724123).

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

4702340206144 is an frugal number, since it uses more digits than its factorization.

4702340206144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77472 (or 38732 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 37.

The spelling of 4702340206144 in words is "four trillion, seven hundred two billion, three hundred forty million, two hundred six thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 38723 77446 154892 271061 309784 542122 619568 1084244 1239136 1897427 2168488 2478272 3794854 4336976 7589708 8673952 15179416 17347904 30358832 60717664 121435328 1499470729 2998941458 5997882916 10496295103 11995765832 20992590206 23991531664 41985180412 47983063328 73474065721 83970360824 95966126656 146948131442 167940721648 293896262884 335881443296 587792525768 671762886592 1175585051536 2351170103072 4702340206144