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41420042412012 = 2232111971667318503
BaseRepresentation
bin10010110101011110110101…
…11010100001111111101100
312102122201100222020211101100
421122233122322201333230
520412111221324141022
6224032034345243100
711503333156302615
oct1132573272417754
9172581328224340
1041420042412012
111221a16113a130
12478b594493490
131a15b7c5a8914
14a32a5288ac0c
154bc66c6c41ac
hex25abdaea1fec

41420042412012 has 144 divisors (see below), whose sum is σ = 114867922321152. Its totient is φ = 12480284288640.

The previous prime is 41420042412011. The next prime is 41420042412029. The reversal of 41420042412012 is 21021424002414.

41420042412012 is a `hidden beast` number, since 4 + 1 + 4 + 200 + 42 + 412 + 0 + 1 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (41420042412011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129886753 + ... + 130205255.

It is an arithmetic number, because the mean of its divisors is an integer number (797693905008).

Almost surely, 241420042412012 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 41420042412012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57433961160576).

41420042412012 is an abundant number, since it is smaller than the sum of its proper divisors (73447879909140).

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

41420042412012 is a wasteful number, since it uses less digits than its factorization.

41420042412012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320388 (or 320383 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 41420042412012 its reverse (21021424002414), we get a palindrome (62441466414426).

The spelling of 41420042412012 in words is "forty-one trillion, four hundred twenty billion, forty-two million, four hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 197 198 394 396 591 788 1182 1667 1773 2167 2364 3334 3546 4334 5001 6501 6668 7092 8668 10002 13002 15003 18337 19503 20004 26004 30006 36674 39006 55011 60012 73348 78012 110022 165033 220044 318503 328399 330066 637006 656798 660132 955509 985197 1274012 1313596 1911018 1970394 2866527 2955591 3503533 3612389 3822036 3940788 5733054 5911182 7007066 7224778 10510599 10837167 11466108 11822364 14014132 14449556 21021198 21674334 31531797 32511501 42042396 43348668 62745091 63063594 65023002 125490182 126127188 130046004 188235273 250980364 376470546 530944501 564705819 690196001 752941092 1061889002 1129411638 1380392002 1592833503 2070588003 2123778004 2258823276 2760784004 3185667006 4141176006 4778500509 5840389511 6211764009 6371334012 8282352012 9557001018 11680779022 12423528018 17521168533 19114002036 23361558044 24847056036 35042337066 52563505599 70084674132 104596066697 105127011198 209192133394 210254022396 313788200091 418384266788 627576400182 941364600273 1150556733667 1255152800364 1882729200546 2301113467334 3451670201001 3765458401092 4602226934668 6903340402002 10355010603003 13806680804004 20710021206006 41420042412012