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3066142434576 = 2431337179741913
BaseRepresentation
bin101100100111100100010…
…101001010010100010000
3101212010020201221002101020
4230213210111022110100
5400213424430401301
610304322201235440
7434343603450234
oct54474425122420
911763221832336
103066142434576
11a82386519851
124162a4a92b80
1319319ca06360
14a858b4745c4
1554b56367436
hex2c9e454a510

3066142434576 has 160 divisors (see below), whose sum is σ = 8809664895360. Its totient is φ = 912801042432.

The previous prime is 3066142434569. The next prime is 3066142434583. The reversal of 3066142434576 is 6754342416603.

It is an interprime number because it is at equal distance from previous prime (3066142434569) and next prime (3066142434583).

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 31 ways as a sum of consecutive naturals, for example, 3761796 + ... + 4503708.

It is an arithmetic number, because the mean of its divisors is an integer number (55060405596).

Almost surely, 23066142434576 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 3066142434576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4404832447680).

3066142434576 is an abundant number, since it is smaller than the sum of its proper divisors (5743522460784).

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

3066142434576 is a wasteful number, since it uses less digits than its factorization.

3066142434576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742153 (or 742147 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 51.

The spelling of 3066142434576 in words is "three trillion, sixty-six billion, one hundred forty-two million, four hundred thirty-four thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 37 39 48 52 74 78 104 111 148 156 179 208 222 296 312 358 444 481 537 592 624 716 888 962 1074 1432 1443 1776 1924 2148 2327 2864 2886 3848 4296 4654 5772 6623 6981 7696 8592 9308 11544 13246 13962 18616 19869 23088 26492 27924 37232 39738 52984 55848 79476 86099 105968 111696 158952 172198 258297 317904 344396 516594 688792 741913 1033188 1377584 1483826 2066376 2225739 2967652 4132752 4451478 5935304 8902956 9644869 11870608 17805912 19289738 27450781 28934607 35611824 38579476 54901562 57869214 77158952 82352343 109803124 115738428 132802427 154317904 164704686 219606248 231476856 265604854 329409372 356860153 398407281 439212496 462953712 531209708 658818744 713720306 796814562 1062419416 1070580459 1317637488 1427440612 1593629124 1726431551 2124838832 2141160918 2854881224 3187258248 3452863102 4282321836 4913689799 5179294653 5709762448 6374516496 6905726204 8564643672 9827379598 10358589306 13811452408 14741069397 17129287344 19654759196 20717178612 27622904816 29482138794 39309518392 41434357224 58964277588 63877967387 78619036784 82868714448 117928555176 127755934774 191633902161 235857110352 255511869548 383267804322 511023739096 766535608644 1022047478192 1533071217288 3066142434576