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3000044130432 = 273101151151193
BaseRepresentation
bin101011101010000000100…
…100001001000010000000
3101121210122020022100000120
4223222000210021002000
5343123042244133212
610214111245220240
7426513614234166
oct53520044110200
911553566270016
103000044130432
11a57347778608
12405518861680
13189b97a1179b
14a52bab03236
155308855e88c
hex2ba80909080

3000044130432 has 128 divisors (see below), whose sum is σ = 8053250325120. Its totient is φ = 989438976000.

The previous prime is 3000044130299. The next prime is 3000044130437. The reversal of 3000044130432 is 2340314400003.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (3000044130437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58577028 + ... + 58628220.

It is an arithmetic number, because the mean of its divisors is an integer number (62916018165).

Almost surely, 23000044130432 is an apocalyptic number.

3000044130432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3000044130432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4026625162560).

3000044130432 is an abundant number, since it is smaller than the sum of its proper divisors (5053206194688).

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

3000044130432 is a wasteful number, since it uses less digits than its factorization.

3000044130432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52822 (or 52810 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 3000044130432 its reverse (2340314400003), we get a palindrome (5340358530435).

The spelling of 3000044130432 in words is "three trillion, forty-four million, one hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 101 128 192 202 303 384 404 606 808 1212 1511 1616 2424 3022 3232 4533 4848 6044 6464 9066 9696 12088 12928 18132 19392 24176 36264 38784 48352 51193 72528 96704 102386 145056 152611 153579 193408 204772 290112 305222 307158 409544 457833 580224 610444 614316 819088 915666 1220888 1228632 1638176 1831332 2441776 2457264 3276352 3662664 4883552 4914528 5170493 6552704 7325328 9767104 9829056 10340986 14650656 15511479 19534208 19658112 20681972 29301312 31022958 41363944 58602624 62045916 77352623 82727888 124091832 154705246 165455776 232057869 248183664 309410492 330911552 464115738 496367328 618820984 661823104 928231476 992734656 1237641968 1856462952 1985469312 2475283936 3712925904 4950567872 7425851808 7812614923 9901135744 14851703616 15625229846 23437844769 29703407232 31250459692 46875689538 62500919384 93751379076 125001838768 187502758152 250003677536 375005516304 500007355072 750011032608 1000014710144 1500022065216 3000044130432