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145344165012 = 223231373519911
BaseRepresentation
bin1000011101011100101…
…1111111010010010100
3111220011021200120221200
42013113023333102110
54340131101240022
6150434205512500
713333523006214
oct2072713772224
9456137616850
10145344165012
1156704aa0442
1224203572730
1310923b12c07
14706b2bc244
153ba9eacbac
hex21d72ff494

145344165012 has 72 divisors (see below), whose sum is σ = 389499382272. Its totient is φ = 45618033600.

The previous prime is 145344164993. The next prime is 145344165019. The reversal of 145344165012 is 210561443541.

145344165012 is a `hidden beast` number, since 1 + 453 + 44 + 165 + 0 + 1 + 2 = 666.

145344165012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1453441650122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145344165019) 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, 1718664 + ... + 1801247.

Almost surely, 2145344165012 is an apocalyptic number.

145344165012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

145344165012 is an abundant number, since it is smaller than the sum of its proper divisors (244155217260).

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

145344165012 is a wasteful number, since it uses less digits than its factorization.

145344165012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3519989 (or 3519984 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 145344165012 in words is "one hundred forty-five billion, three hundred forty-four million, one hundred sixty-five thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 31 36 37 62 74 93 111 124 148 186 222 279 333 372 444 558 666 1116 1147 1332 2294 3441 4588 6882 10323 13764 20646 41292 3519911 7039822 10559733 14079644 21119466 31679199 42238932 63358398 109117241 126716796 130236707 218234482 260473414 327351723 390710121 436468964 520946828 654703446 781420242 982055169 1172130363 1309406892 1562840484 1964110338 2344260726 3928220676 4037337917 4688521452 8074675834 12112013751 16149351668 24224027502 36336041253 48448055004 72672082506 145344165012