Search a number
-
+
142605442546452 = 223419112320628029
BaseRepresentation
bin100000011011001011101010…
…101111101111101100010100
3200200220221120111001110020000
4200123023222233233230110
5122142421421242441302
61223144011431011300
742015621543363414
oct4033135257575424
9620827514043200
10142605442546452
11414906a06682a6
1213bb1a82209b30
13617583534b052
1427301d6ba0644
15117476505831c
hex81b2eabefb14

142605442546452 has 120 divisors (see below), whose sum is σ = 392769242896800. Its totient is φ = 44993194576704.

The previous prime is 142605442546451. The next prime is 142605442546459. The reversal of 142605442546452 is 254645244506241.

142605442546452 is a `hidden beast` number, since 1 + 4 + 2 + 6 + 0 + 5 + 4 + 42 + 546 + 4 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142605442546451) 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, 3400827 + ... + 17227202.

It is an arithmetic number, because the mean of its divisors is an integer number (3273077024140).

Almost surely, 2142605442546452 is an apocalyptic number.

142605442546452 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

142605442546452 is an abundant number, since it is smaller than the sum of its proper divisors (250163800350348).

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

142605442546452 is a wasteful number, since it uses less digits than its factorization.

142605442546452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20629187 (or 20629176 counting only the distinct ones).

The product of its (nonzero) digits is 36864000, while the sum is 54.

The spelling of 142605442546452 in words is "one hundred forty-two trillion, six hundred five billion, four hundred forty-two million, five hundred forty-six thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 324 342 513 684 1026 1123 1539 2052 2246 3078 3369 4492 6156 6738 10107 13476 20214 21337 30321 40428 42674 60642 64011 85348 90963 121284 128022 181926 192033 256044 363852 384066 576099 768132 1152198 1728297 2304396 3456594 6913188 20628029 41256058 61884087 82512116 123768174 185652261 247536348 371304522 391932551 556956783 742609044 783865102 1113913566 1175797653 1567730204 1670870349 2227827132 2351595306 3341740698 3527392959 4703190612 6683481396 7054785918 10582178877 14109571836 21164357754 23165276567 31746536631 42328715508 46330553134 63493073262 69495829701 92661106268 126986146524 138991659402 208487489103 277983318804 416974978206 440140254773 625462467309 833949956412 880280509546 1250924934618 1320420764319 1760561019092 1876387401927 2501849869236 2640841528638 3752774803854 3961262292957 5281683057276 7505549607708 7922524585914 11883786878871 15845049171828 23767573757742 35651360636613 47535147515484 71302721273226 142605442546452