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3042442332234 = 233718922339983
BaseRepresentation
bin101100010001011111101…
…100011100100001001010
3101202212002001000010221000
4230101133230130201022
5344321410214112414
610245402333555430
7432544362062034
oct54213754344112
911685061003830
103042442332234
11a73324420108
1241178b945b76
13190b938a0366
14a737d9c2c54
155421a864b09
hex2c45fb1c84a

3042442332234 has 128 divisors (see below), whose sum is σ = 6964509081600. Its totient is φ = 984171323520.

The previous prime is 3042442332233. The next prime is 3042442332239. The reversal of 3042442332234 is 4322332442403.

3042442332234 is a `hidden beast` number, since 3 + 0 + 4 + 2 + 4 + 423 + 3 + 223 + 4 = 666.

It is a super-2 number, since 2×30424423322342 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3042442332233) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 76073407 + ... + 76113389.

It is an arithmetic number, because the mean of its divisors is an integer number (54410227200).

Almost surely, 23042442332234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3042442332234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3482254540800).

3042442332234 is an abundant number, since it is smaller than the sum of its proper divisors (3922066749366).

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

3042442332234 is a wasteful number, since it uses less digits than its factorization.

3042442332234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40377 (or 40371 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 36.

Adding to 3042442332234 its reverse (4322332442403), we get a palindrome (7364774774637).

The spelling of 3042442332234 in words is "three trillion, forty-two billion, four hundred forty-two million, three hundred thirty-two thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 71 89 142 178 213 223 267 426 446 534 639 669 801 1278 1338 1602 1917 2007 2403 3834 4014 4806 6021 6319 12042 12638 15833 18957 19847 31666 37914 39694 39983 47499 56871 59541 79966 94998 113742 119082 119949 142497 170613 178623 239898 284994 341226 357246 359847 427491 535869 719694 854982 1071738 1079541 1409137 2159082 2818274 2838793 3558487 4227411 5677586 7116974 8454822 8516379 8916209 10675461 12682233 17032758 17832418 21350922 25364466 25549137 26748627 32026383 38046699 51098274 53497254 64052766 76093398 76647411 80245881 96079149 153294822 160491762 192158298 240737643 252652577 481475286 505305154 633050839 757957731 793542601 1266101678 1515915462 1587085202 1899152517 2273873193 2380627803 3798305034 4547746386 4761255606 5697457551 6821619579 7141883409 11394915102 13643239158 14283766818 17092372653 21425650227 34184745306 42851300454 56341524671 112683049342 169024574013 338049148026 507073722039 1014147444078 1521221166117 3042442332234