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3000094371432 = 23321722971067069
BaseRepresentation
bin101011101010000011100…
…011110010111001101000
3101121210202201211211201100
4223222003203302321220
5343123143124341212
610214120242121400
7426515064254334
oct53520343627150
911553681754640
103000094371432
11a573730733a4
12405531650260
13189ba52527a2
14a52c36607c4
155308cb85bdc
hex2ba838f2e68

3000094371432 has 96 divisors (see below), whose sum is σ = 8606965278600. Its totient is φ = 940795441152.

The previous prime is 3000094371431. The next prime is 3000094371433. The reversal of 3000094371432 is 2341734900003.

3000094371432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3000094371431) and next prime (3000094371433).

It can be written as a sum of positive squares in 4 ways, for example, as 2380892204196 + 619202167236 = 1543014^2 + 786894^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3000094371431) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2277994 + ... + 3345062.

Almost surely, 23000094371432 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 3000094371432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4303482639300).

3000094371432 is an abundant number, since it is smaller than the sum of its proper divisors (5606870907168).

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

3000094371432 is a wasteful number, since it uses less digits than its factorization.

3000094371432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069395 (or 1069388 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 3000094371432 in words is "three trillion, ninety-four million, three hundred seventy-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 2297 4594 6891 9188 13782 18376 20673 27564 39049 41346 55128 78098 82692 117147 156196 165384 234294 312392 351441 468588 702882 937176 1067069 1405764 2134138 2811528 3201207 4268276 6402414 8536552 9603621 12804828 18140173 19207242 25609656 36280346 38414484 54420519 72560692 76828968 108841038 145121384 163261557 217682076 326523114 435364152 653046228 1306092456 2451057493 4902114986 7353172479 9804229972 14706344958 19608459944 22059517437 29412689916 41667977381 44119034874 58825379832 83335954762 88238069748 125003932143 166671909524 176476139496 250007864286 333343819048 375011796429 500015728572 750023592858 1000031457144 1500047185716 3000094371432