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3000002025342 = 2373110727977699
BaseRepresentation
bin101011101001111110000…
…011100001011101111110
3101121210112022002011200210
4223221332003201131332
5343123001004302332
610214103142533250
7426512563320630
oct53517603413576
911553468064623
103000002025342
11a57325a2a413
12405506737226
13189b8c08ba2a
14a52b52a2a50
15530849e3ecc
hex2ba7e0e177e

3000002025342 has 128 divisors (see below), whose sum is σ = 7147981209600. Its totient is φ = 821340881280.

The previous prime is 3000002025337. The next prime is 3000002025401. The reversal of 3000002025342 is 2435202000003.

It is a super-2 number, since 2×30000020253422 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 389657409 + ... + 389665107.

It is an arithmetic number, because the mean of its divisors is an integer number (55843603200).

Almost surely, 23000002025342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3000002025342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3573990604800).

3000002025342 is an abundant number, since it is smaller than the sum of its proper divisors (4147979184258).

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

3000002025342 is a wasteful number, since it uses less digits than its factorization.

3000002025342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10646.

The product of its (nonzero) digits is 1440, while the sum is 21.

Adding to 3000002025342 its reverse (2435202000003), we get a palindrome (5435204025345).

The spelling of 3000002025342 in words is "three trillion, two million, twenty-five thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 14 21 31 42 62 93 107 186 214 217 321 434 642 651 749 1302 1498 2247 2797 3317 4494 5594 6634 7699 8391 9951 15398 16782 19579 19902 23097 23219 39158 46194 46438 53893 58737 69657 86707 107786 117474 139314 161679 173414 238669 260121 299279 323358 477338 520242 598558 606949 716007 823793 897837 1213898 1432014 1647586 1670683 1795674 1820847 2094953 2471379 3341366 3641694 4189906 4942758 5012049 5766551 6284859 9277649 10024098 11533102 12569718 17299653 18555298 21534103 25537583 27832947 34599306 43068206 51075166 55665894 64602309 64943543 76612749 129204618 129887086 150738721 153225498 178763081 194830629 301477442 357526162 389661258 452216163 536289243 667557193 904432326 1072578486 1335114386 2002671579 2304149021 4005343158 4608298042 4672900351 6912447063 9345800702 13824894126 14018701053 16129043147 28037402106 32258086294 48387129441 71428619651 96774258882 142857239302 214285858953 428571717906 500000337557 1000000675114 1500001012671 3000002025342