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145425453432 = 23372931639437
BaseRepresentation
bin1000011101110000001…
…0000101000101111000
3111220100221122110200220
42013130002011011320
54340312404002212
6150450232100040
713335530646540
oct2073402050570
9456327573626
10145425453432
1156746971656
1224226834620
131093790487c
147077ddc320
153bb21b838c
hex21dc085178

145425453432 has 128 divisors (see below), whose sum is σ = 430010380800. Its totient is φ = 40100433408.

The previous prime is 145425453373. The next prime is 145425453499. The reversal of 145425453432 is 234354524541.

It is a super-2 number, since 2×1454254534322 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15405418 + ... + 15414854.

It is an arithmetic number, because the mean of its divisors is an integer number (3359456100).

Almost surely, 2145425453432 is an apocalyptic number.

145425453432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145425453432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215005190400).

145425453432 is an abundant number, since it is smaller than the sum of its proper divisors (284584927368).

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

145425453432 is a wasteful number, since it uses less digits than its factorization.

145425453432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12645 (or 12641 counting only the distinct ones).

The product of its digits is 1152000, while the sum is 42.

Adding to 145425453432 its reverse (234354524541), we get a palindrome (379779977973).

The spelling of 145425453432 in words is "one hundred forty-five billion, four hundred twenty-five million, four hundred fifty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 56 58 84 87 116 168 174 203 232 348 406 609 696 812 1218 1624 2436 3163 4872 6326 9437 9489 12652 18874 18978 22141 25304 28311 37748 37956 44282 56622 66059 66423 75496 75912 88564 91727 113244 132118 132846 177128 183454 198177 226488 264236 265692 273673 275181 366908 396354 528472 531384 547346 550362 642089 733816 792708 821019 1094692 1100724 1284178 1585416 1642038 1915711 1926267 2189384 2201448 2568356 3284076 3831422 3852534 5136712 5747133 6568152 7662844 7705068 11494266 15325688 15410136 22988532 29849231 45977064 59698462 89547693 119396924 179095386 208944617 238793848 358190772 417889234 626833851 716381544 835778468 865627699 1253667702 1671556936 1731255398 2507335404 2596883097 3462510796 5014670808 5193766194 6059393893 6925021592 10387532388 12118787786 18178181679 20775064776 24237575572 36356363358 48475151144 72712726716 145425453432