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145434244014 = 2347173173209
BaseRepresentation
bin1000011101110010001…
…1100111001110101110
3111220101120012002010000
42013130203213032232
54340322131302024
6150451144325130
713335665451213
oct2073443471656
9456346162100
10145434244014
11567509260a4
12242297737a6
1310939691ab7
147079249b0a
153bb2d52cc9
hex21dc8e73ae

145434244014 has 80 divisors (see below), whose sum is σ = 334999225440. Its totient is φ = 47140289280.

The previous prime is 145434244001. The next prime is 145434244019. The reversal of 145434244014 is 410442434541.

145434244014 is a `hidden beast` number, since 145 + 43 + 424 + 40 + 14 = 666.

It is a super-2 number, since 2×1454342440142 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 145434244014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145434244019) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 753042 + ... + 926250.

It is an arithmetic number, because the mean of its divisors is an integer number (4187490318).

Almost surely, 2145434244014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145434244014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167499612720).

145434244014 is an abundant number, since it is smaller than the sum of its proper divisors (189564981426).

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

145434244014 is a wasteful number, since it uses less digits than its factorization.

145434244014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173367 (or 173358 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

Adding to 145434244014 its reverse (410442434541), we get a palindrome (555876678555).

The spelling of 145434244014 in words is "one hundred forty-five billion, four hundred thirty-four million, two hundred forty-four thousand, fourteen".

Divisors: 1 2 3 6 9 18 27 54 71 73 81 142 146 162 213 219 426 438 639 657 1278 1314 1917 1971 3834 3942 5183 5751 5913 10366 11502 11826 15549 31098 46647 93294 139941 173209 279882 346418 419823 519627 839646 1039254 1558881 3117762 4676643 9353286 12297839 12644257 14029929 24595678 25288514 28059858 36893517 37932771 73787034 75865542 110680551 113798313 221361102 227596626 332041653 341394939 664083306 682789878 897742247 996124959 1024184817 1795484494 1992249918 2048369634 2693226741 5386453482 8079680223 16159360446 24239040669 48478081338 72717122007 145434244014