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3012153432344 = 2371929969710067
BaseRepresentation
bin101011110101010010010…
…101011101100100011000
3101122221220011002121101222
4223311102111131210120
5343322342234313334
610223433021431212
7430422653504330
oct53652225354430
911587804077358
103012153432344
11a614a10a4341
1240793810b508
1318b0776c59a4
14a5b090540c0
15535466c0d2e
hex2bd5255d918

3012153432344 has 128 divisors (see below), whose sum is σ = 7030041408000. Its totient is φ = 1180568825856.

The previous prime is 3012153432329. The next prime is 3012153432359. The reversal of 3012153432344 is 4432343512103.

3012153432344 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 (3012153432329) and next prime (3012153432359).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 299205599 + ... + 299215665.

It is an arithmetic number, because the mean of its divisors is an integer number (54922198500).

Almost surely, 23012153432344 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 3012153432344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3515020704000).

3012153432344 is an abundant number, since it is smaller than the sum of its proper divisors (4017887975656).

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

3012153432344 is a wasteful number, since it uses less digits than its factorization.

3012153432344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19825 (or 19821 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 35.

Adding to 3012153432344 its reverse (4432343512103), we get a palindrome (7444496944447).

The spelling of 3012153432344 in words is "three trillion, twelve billion, one hundred fifty-three million, four hundred thirty-two thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 19 28 29 38 56 58 76 116 133 152 203 232 266 406 532 551 812 1064 1102 1624 2204 3857 4408 7714 9697 10067 15428 19394 20134 30856 38788 40268 67879 70469 77576 80536 135758 140938 184243 191273 271516 281213 281876 291943 368486 382546 543032 562426 563752 583886 736972 765092 1124852 1167772 1289701 1338911 1473944 1530184 1968491 2043601 2249704 2335544 2579402 2677822 3936982 4087202 5158804 5343047 5355644 5546917 7873964 8174404 10317608 10686094 10711288 11093834 15747928 16348808 21372188 22187668 37401329 38828419 42744376 44375336 74802658 77656838 97619699 149605316 155313676 195239398 299210632 310627352 390478796 683337893 780957592 1366675786 1854774281 2733351572 2830971271 3709548562 5466703144 5661942542 7419097124 11323885084 12983419967 14838194248 19816798897 22647770168 25966839934 39633597794 51933679868 53788454149 79267195588 103867359736 107576908298 158534391176 215153816596 376519179043 430307633192 753038358086 1506076716172 3012153432344