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145743460380 = 22345712852157
BaseRepresentation
bin1000011110111011111…
…1001011100000011100
3111221012010000220020000
42013232333023200130
54341440311213010
6150541552054300
713346441654520
oct2075677134034
9457163026200
10145743460380
115689a424a11
12242b5234390
131098876886b
1470a833bd80
153bd00827c0
hex21eefcb81c

145743460380 has 120 divisors (see below), whose sum is σ = 522517335648. Its totient is φ = 33312788352.

The previous prime is 145743460363. The next prime is 145743460381. The reversal of 145743460380 is 83064347541.

145743460380 is a `hidden beast` number, since 1 + 4 + 5 + 7 + 4 + 34 + 603 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145743460381) 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, 6414739 + ... + 6437418.

Almost surely, 2145743460380 is an apocalyptic number.

145743460380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145743460380 is an abundant number, since it is smaller than the sum of its proper divisors (376773875268).

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

145743460380 is a wasteful number, since it uses less digits than its factorization.

145743460380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12852185 (or 12852174 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 145743460380 in words is "one hundred forty-five billion, seven hundred forty-three million, four hundred sixty thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 252 270 315 324 378 405 420 540 567 630 756 810 945 1134 1260 1620 1890 2268 2835 3780 5670 11340 12852157 25704314 38556471 51408628 64260785 77112942 89965099 115669413 128521570 154225884 179930198 192782355 231338826 257043140 269895297 347008239 359860396 385564710 449825495 462677652 539790594 578347065 694016478 771129420 809685891 899650990 1041024717 1079581188 1156694130 1349476485 1388032956 1619371782 1735041195 1799301980 2082049434 2313388260 2429057673 2698952970 3238743564 3470082390 4048429455 4164098868 4858115346 5205123585 5397905940 6940164780 7287173019 8096858910 9716230692 10410247170 12145288365 14574346038 16193717820 20820494340 24290576730 29148692076 36435865095 48581153460 72871730190 145743460380