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145341233312 = 25111019374363
BaseRepresentation
bin1000011101011100000…
…0110011100010100000
3111220011002011122102012
42013113000303202200
54340124323431222
6150434023012052
713333456046042
oct2072700634240
9456132148365
10145341233312
1156703378850
122420259a028
1310923327692
14706ab57a92
153ba9ace1e2
hex21d70338a0

145341233312 has 96 divisors (see below), whose sum is σ = 315652728384. Its totient is φ = 65325312000.

The previous prime is 145341233299. The next prime is 145341233329. The reversal of 145341233312 is 213332143541.

It is a super-2 number, since 2×1453412333122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33310043 + ... + 33314405.

It is an arithmetic number, because the mean of its divisors is an integer number (3288049254).

Almost surely, 2145341233312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145341233312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157826364192).

145341233312 is an abundant number, since it is smaller than the sum of its proper divisors (170311495072).

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

145341233312 is a wasteful number, since it uses less digits than its factorization.

145341233312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5422 (or 5414 counting only the distinct ones).

The product of its digits is 25920, while the sum is 32.

Adding to 145341233312 its reverse (213332143541), we get a palindrome (358673376853).

The spelling of 145341233312 in words is "one hundred forty-five billion, three hundred forty-one million, two hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 88 101 176 202 352 404 808 937 1111 1616 1874 2222 3232 3748 4363 4444 7496 8726 8888 10307 14992 17452 17776 20614 29984 34904 35552 41228 47993 69808 82456 94637 95986 139616 164912 189274 191972 329824 378548 383944 440663 757096 767888 881326 1041007 1514192 1535776 1762652 2082014 3028384 3525304 4088131 4164028 4847293 7050608 8176262 8328056 9694586 14101216 16352524 16656112 19389172 32705048 33312224 38778344 44969441 65410096 77556688 89938882 130820192 155113376 179877764 359755528 412901231 719511056 825802462 1439022112 1651604924 3303209848 4541913541 6606419696 9083827082 13212839392 18167654164 36335308328 72670616656 145341233312