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46043144134064 = 24721119327662977
BaseRepresentation
bin10100111100000010000010…
…10000000001110110110000
320001000200101212202122210222
422132001001100001312300
522013332324344242224
6241531532311512212
712461336014460300
oct1236010120016660
9201020355678728
1046043144134064
1113741873580a70
1251b7577988668
131c8cb081b826c
14b5270027b600
1554ca4b701b5e
hex29e041401db0

46043144134064 has 120 divisors (see below), whose sum is σ = 113793762389328. Its totient is φ = 17845939077120.

The previous prime is 46043144134061. The next prime is 46043144134069.

It is a happy number.

46043144134064 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×460431441340642 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (46043144134061) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12167057 + ... + 15495920.

Almost surely, 246043144134064 is an apocalyptic number.

46043144134064 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46043144134064 is an abundant number, since it is smaller than the sum of its proper divisors (67750618255264).

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

46043144134064 is a wasteful number, since it uses less digits than its factorization.

46043144134064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27663203 (or 27663190 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 44.

It can be divided in two parts, 4604314 and 4134064, that added together give a palindrome (8738378).

The spelling of 46043144134064 in words is "forty-six trillion, forty-three billion, one hundred forty-four million, one hundred thirty-four thousand, sixty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 49 56 77 88 98 112 154 176 193 196 308 386 392 539 616 772 784 1078 1232 1351 1544 2123 2156 2702 3088 4246 4312 5404 8492 8624 9457 10808 14861 16984 18914 21616 29722 33968 37828 59444 75656 104027 118888 151312 208054 237776 416108 832216 1664432 27662977 55325954 110651908 193640839 221303816 304292747 387281678 442607632 608585494 774563356 1217170988 1355485873 1549126712 2130049229 2434341976 2710971746 3098253424 4260098458 4868683952 5338954561 5421943492 8520196916 10677909122 10843886984 14910344603 17040393832 21355818244 21687773968 29820689206 34080787664 37372681927 42711636488 58728500171 59641378412 74745363854 85423272976 117457000342 119282756824 149490727708 234914000684 238565513648 261608773489 298981455416 411099501197 469828001368 523217546978 597962910832 822199002394 939656002736 1046435093956 1644398004788 2092870187912 2877696508379 3288796009576 4185740375824 5755393016758 6577592019152 11510786033516 23021572067032 46043144134064