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4313314100040 = 23351115121640147
BaseRepresentation
bin111110110001000101100…
…011100000001101001000
3120021100102021110002101120
4332301011203200031020
51031132131402200130
613101301550315240
7623424641626611
oct76610543401510
916240367402346
104313314100040
1114132a23a8330
12597b481b8b20
132539890c293a
1410caa0810c08
15772ec462910
hex3ec458e0348

4313314100040 has 128 divisors (see below), whose sum is σ = 14209786782720. Its totient is φ = 1038727008000.

The previous prime is 4313314099981. The next prime is 4313314100107. The reversal of 4313314100040 is 400014133134.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 10620754 + ... + 11019393.

It is an arithmetic number, because the mean of its divisors is an integer number (111013959240).

Almost surely, 24313314100040 is an apocalyptic number.

4313314100040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4313314100040 is an abundant number, since it is smaller than the sum of its proper divisors (9896472682680).

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

4313314100040 is a wasteful number, since it uses less digits than its factorization.

4313314100040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21640323 (or 21640319 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 4313314100040 its reverse (400014133134), we get a palindrome (4713328233174).

The spelling of 4313314100040 in words is "four trillion, three hundred thirteen billion, three hundred fourteen million, one hundred thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 151 165 220 264 302 330 440 453 604 660 755 906 1208 1320 1510 1661 1812 2265 3020 3322 3624 4530 4983 6040 6644 8305 9060 9966 13288 16610 18120 19932 24915 33220 39864 49830 66440 99660 199320 21640147 43280294 64920441 86560588 108200735 129840882 173121176 216401470 238041617 259681764 324602205 432802940 476083234 519363528 649204410 714124851 865605880 952166468 1190208085 1298408820 1428249702 1904332936 2380416170 2596817640 2856499404 3267662197 3570624255 4760832340 5712998808 6535324394 7141248510 9521664680 9802986591 13070648788 14282497020 16338310985 19605973182 26141297576 28564994040 32676621970 35944284167 39211946364 49014932955 65353243940 71888568334 78423892728 98029865910 107832852501 130706487880 143777136668 179721420835 196059731820 215665705002 287554273336 359442841670 392119463640 431331410004 539164262505 718885683340 862662820008 1078328525010 1437771366680 2156657050020 4313314100040