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3144698018946 = 2331148534663
BaseRepresentation
bin101101110000101110100…
…110111011110010000010
3102010122000102010020122000
4231300232212323302002
5403010320143101241
610404353200124430
7443124356060451
oct55605646736202
912118012106560
103144698018946
111002728060000
12429569006716
1319a70b80b063
14ac2c0458b98
1556c02b1aeb6
hex2dc2e9bbc82

3144698018946 has 160 divisors (see below), whose sum is σ = 7697654025600. Its totient is φ = 951617509920.

The previous prime is 3144698018933. The next prime is 3144698018947. The reversal of 3144698018946 is 6498108964413.

3144698018946 is a `hidden beast` number, since 3 + 1 + 4 + 469 + 80 + 1 + 8 + 94 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (3144698018947) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 674391411 + ... + 674396073.

It is an arithmetic number, because the mean of its divisors is an integer number (48110337660).

Almost surely, 23144698018946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3144698018946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3848827012800).

3144698018946 is an abundant number, since it is smaller than the sum of its proper divisors (4552956006654).

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

3144698018946 is an equidigital number, since it uses as much as digits as its factorization.

3144698018946 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5571 (or 5532 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 3144698018946 in words is "three trillion, one hundred forty-four billion, six hundred ninety-eight million, eighteen thousand, nine hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 121 198 242 297 363 594 726 853 1089 1331 1706 2178 2559 2662 3267 3993 4663 5118 6534 7677 7986 9326 9383 11979 13989 14641 15354 18766 23031 23958 27978 28149 29282 35937 41967 43923 46062 51293 56298 71874 83934 84447 87846 102586 103213 125901 131769 153879 168894 206426 251802 253341 263538 307758 309639 395307 461637 506682 564223 619278 790614 923274 928917 1128446 1135343 1384911 1692669 1857834 2270686 2769822 2786751 3385338 3406029 3977539 5078007 5573502 6206453 6812058 7955078 10156014 10218087 11932617 12412906 12488773 15234021 18619359 20436174 23865234 24977546 30468042 30654261 35797851 37238718 37466319 43752929 55858077 61308522 68270983 71595702 74932638 87505858 107393553 111716154 112398957 131258787 136541966 167574231 204812949 214787106 224797914 262517574 335148462 337196871 393776361 409625898 481282219 614438847 674393742 787552722 962564438 1181329083 1228877694 1443846657 1843316541 2362658166 2887693314 3686633082 4331539971 5294104409 8663079942 10588208818 12994619913 15882313227 25989239826 31764626454 47646939681 58235148499 95293879362 116470296998 142940819043 174705445497 285881638086 349410890994 524116336491 1048232672982 1572349009473 3144698018946