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7042339296 = 253235968113
BaseRepresentation
bin1101000111100000…
…11001000111100000
3200011210101220101100
412203300121013200
5103410314324141
63122445434400
7336341616306
oct64360310740
920153356340
107042339296
112a94242823
12144656ba00
1388300b495
144ab41c276
152b33ce0b6
hex1a3c191e0

7042339296 has 72 divisors (see below), whose sum is σ = 20082731760. Its totient is φ = 2340873216.

The previous prime is 7042339289. The next prime is 7042339307. The reversal of 7042339296 is 6929332407.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69336 + ... + 137448.

It is an arithmetic number, because the mean of its divisors is an integer number (278926830).

Almost surely, 27042339296 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 7042339296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10041365880).

7042339296 is an abundant number, since it is smaller than the sum of its proper divisors (13040392464).

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

7042339296 is a wasteful number, since it uses less digits than its factorization.

7042339296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68488 (or 68477 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The square root of 7042339296 is about 83918.6468909026. The cubic root of 7042339296 is about 1916.7802024473.

The spelling of 7042339296 in words is "seven billion, forty-two million, three hundred thirty-nine thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 359 718 1077 1436 2154 2872 3231 4308 5744 6462 8616 11488 12924 17232 25848 34464 51696 68113 103392 136226 204339 272452 408678 544904 613017 817356 1089808 1226034 1634712 2179616 2452068 3269424 4904136 6538848 9808272 19616544 24452567 48905134 73357701 97810268 146715402 195620536 220073103 293430804 391241072 440146206 586861608 782482144 880292412 1173723216 1760584824 2347446432 3521169648 7042339296