Search a number
-
+
1413506373840 = 243351159491009
BaseRepresentation
bin10100100100011011100…
…010111001100011010000
312000010111200121200021000
4110210123202321203100
5141124330112430330
63001204511102000
7204060001636161
oct24443342714320
95003450550230
101413506373840
114a5512552920
121a9b44511900
13a33a6b82b62
144c5b2309768
1526b7dc88560
hex1491b8b98d0

1413506373840 has 160 divisors (see below), whose sum is σ = 5311357372800. Its totient is φ = 342668206080.

The previous prime is 1413506373823. The next prime is 1413506373907. The reversal of 1413506373840 is 483736053141.

1413506373840 is a `hidden beast` number, since 1 + 4 + 1 + 3 + 5 + 0 + 637 + 3 + 8 + 4 + 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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29721745 + ... + 29769264.

It is an arithmetic number, because the mean of its divisors is an integer number (33195983580).

Almost surely, 21413506373840 is an apocalyptic number.

1413506373840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1413506373840 is an abundant number, since it is smaller than the sum of its proper divisors (3897850998960).

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

1413506373840 is a wasteful number, since it uses less digits than its factorization.

1413506373840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59491042 (or 59491030 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 1413506373840 in words is "one trillion, four hundred thirteen billion, five hundred six million, three hundred seventy-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 30 33 36 40 44 45 48 54 55 60 66 72 80 88 90 99 108 110 120 132 135 144 165 176 180 198 216 220 240 264 270 297 330 360 396 432 440 495 528 540 594 660 720 792 880 990 1080 1188 1320 1485 1584 1980 2160 2376 2640 2970 3960 4752 5940 7920 11880 23760 59491009 118982018 178473027 237964036 297455045 356946054 475928072 535419081 594910090 654401099 713892108 892365135 951856144 1070838162 1189820180 1308802198 1427784216 1606257243 1784730270 1963203297 2141676324 2379640360 2617604396 2677095405 2855568432 3212514486 3272005495 3569460540 3926406594 4283352648 4759280720 5235208792 5354190810 5889609891 6425028972 6544010990 7138921080 7852813188 8031286215 8566705296 9816016485 10470417584 10708381620 11779219782 12850057944 13088021980 14277842160 15705626376 16062572430 17668829673 19632032970 21416763240 23558439564 25700115888 26176043960 29448049455 31411252752 32125144860 35337659346 39264065940 42833526480 47116879128 52352087920 58896098910 64250289720 70675318692 78528131880 88344148365 94233758256 117792197820 128500579440 141350637384 157056263760 176688296730 235584395640 282701274768 353376593460 471168791280 706753186920 1413506373840