Search a number
-
+
144017345637 = 321123113731139
BaseRepresentation
bin1000011000100000011…
…0100100110001100101
3111202201211001011221100
42012020012210301211
54324421420030022
6150054411310313
713255612145154
oct2061006446145
9452654034840
10144017345637
1156094045400
1223ab314b399
1310771c778a9
146d82db959b
153b2d7711ac
hex21881a4c65

144017345637 has 72 divisors (see below), whose sum is σ = 237762120960. Its totient is φ = 83848406400.

The previous prime is 144017345617. The next prime is 144017345653. The reversal of 144017345637 is 736543710441.

144017345637 is a `hidden beast` number, since 1 + 4 + 4 + 0 + 1 + 7 + 3 + 4 + 5 + 637 = 666.

It is not a de Polignac number, because 144017345637 - 26 = 144017345573 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 144017345592 and 144017345601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144017345617) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4609414 + ... + 4640552.

It is an arithmetic number, because the mean of its divisors is an integer number (3302251680).

Almost surely, 2144017345637 is an apocalyptic number.

It is an amenable number.

144017345637 is a deficient number, since it is larger than the sum of its proper divisors (93744775323).

144017345637 is a wasteful number, since it uses less digits than its factorization.

144017345637 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31335 (or 31321 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 144017345637 in words is "one hundred forty-four billion, seventeen million, three hundred forty-five thousand, six hundred thirty-seven".

Divisors: 1 3 9 11 31 33 93 99 121 137 279 341 363 411 1023 1089 1233 1507 3069 3751 4247 4521 11253 12741 13563 16577 31139 33759 38223 46717 49731 93417 140151 149193 280251 342529 420453 513887 965309 1027587 1541661 2895927 3082761 3767819 4266043 4624983 8687781 10618399 11303457 12798129 31855197 33910371 38394387 46926473 95565591 116802389 132247333 140779419 350407167 396741999 422338257 516191203 1051221501 1190225997 1454720663 1548573609 4364161989 4645720827 13092485967 16001927293 48005781879 144017345637