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145530653112 = 233213876117747
BaseRepresentation
bin1000011110001001001…
…1011000100110111000
3111220122021121011112100
42013202103120212320
54341021321344422
6150504510543400
713341246066255
oct2074223304670
9456567534470
10145530653112
11567a0294739
1224255b07b60
1310953648cc0
147087d8442c
153bbb5487ac
hex21e24d89b8

145530653112 has 96 divisors (see below), whose sum is σ = 424536774480. Its totient is φ = 44771028480.

The previous prime is 145530653089. The next prime is 145530653119. The reversal of 145530653112 is 211356035541.

145530653112 is a `hidden beast` number, since 1 + 4 + 5 + 530 + 6 + 5 + 3 + 112 = 666.

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 (145530653119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8191423 + ... + 8209169.

Almost surely, 2145530653112 is an apocalyptic number.

145530653112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

145530653112 is an abundant number, since it is smaller than the sum of its proper divisors (279006121368).

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

145530653112 is a wasteful number, since it uses less digits than its factorization.

145530653112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26533 (or 26526 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

Adding to 145530653112 its reverse (211356035541), we get a palindrome (356886688653).

The spelling of 145530653112 in words is "one hundred forty-five billion, five hundred thirty million, six hundred fifty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 8761 17522 17747 26283 35044 35494 52566 53241 70088 70988 78849 105132 106482 113893 141976 157698 159723 210264 212964 227786 230711 315396 319446 341679 425928 455572 461422 630792 638892 683358 692133 911144 922844 1025037 1277784 1366716 1384266 1845688 2050074 2076399 2733432 2768532 4100148 4152798 5537064 8200296 8305596 16611192 155481467 310962934 466444401 621925868 932888802 1243851736 1399333203 1865777604 2021259071 2798666406 3731555208 4042518142 5597332812 6063777213 8085036284 11194665624 12127554426 16170072568 18191331639 24255108852 36382663278 48510217704 72765326556 145530653112