Search a number
-
+
40440400803840 = 211351316419297
BaseRepresentation
bin10010011000111110000111…
…01110010111100000000000
312022012001202001201212022110
421030133003232113200000
520300033420101210330
6222002021425535320
711342502555105612
oct1114370356274000
9168161661655273
1040440400803840
111198174aa7a354
1246517544a4540
13197468a01b79b
149db47c17cdb2
154a1e333bddb0
hex24c7c3b97800

40440400803840 has 96 divisors (see below), whose sum is σ = 129377688607440. Its totient is φ = 10784106872832.

The previous prime is 40440400803839. The next prime is 40440400803851. The reversal of 40440400803840 is 4830800404404.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 658178929 + ... + 658240368.

Almost surely, 240440400803840 is an apocalyptic number.

40440400803840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40440400803840 is an abundant number, since it is smaller than the sum of its proper divisors (88937287803600).

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

40440400803840 is a wasteful number, since it uses less digits than its factorization.

40440400803840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1316419327 (or 1316419307 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 39.

The spelling of 40440400803840 in words is "forty trillion, four hundred forty billion, four hundred million, eight hundred three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2048 2560 3072 3840 5120 6144 7680 10240 15360 30720 1316419297 2632838594 3949257891 5265677188 6582096485 7898515782 10531354376 13164192970 15797031564 19746289455 21062708752 26328385940 31594063128 39492578910 42125417504 52656771880 63188126256 78985157820 84250835008 105313543760 126376252512 157970315640 168501670016 210627087520 252752505024 315940631280 337003340032 421254175040 505505010048 631881262560 674006680064 842508350080 1011010020096 1263762525120 1348013360128 1685016700160 2022020040192 2527525050240 2696026720256 3370033400320 4044040080384 5055050100480 6740066800640 8088080160768 10110100200960 13480133601280 20220200401920 40440400803840