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5413456121040 = 2432511683517187
BaseRepresentation
bin100111011000110101100…
…1000010000110011010000
3201011112002001202021022100
41032301223020100303100
51202143224231333130
615302524000040400
71066052326542552
oct116615310206320
921145061667270
105413456121040
1117a7919940850
127351b7603100
133036434350b6
1414a026ac74d2
1595c3a618c60
hex4ec6b210cd0

5413456121040 has 120 divisors (see below), whose sum is σ = 19832934727008. Its totient is φ = 1312352997120.

The previous prime is 5413456121023. The next prime is 5413456121063. The reversal of 5413456121040 is 401216543145.

5413456121040 is a `hidden beast` number, since 5 + 4 + 1 + 34 + 5 + 612 + 1 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5413456120986 and 5413456121004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 341750674 + ... + 341766513.

Almost surely, 25413456121040 is an apocalyptic number.

It is an amenable number.

5413456121040 is an abundant number, since it is smaller than the sum of its proper divisors (14419478605968).

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

5413456121040 is a wasteful number, since it uses less digits than its factorization.

5413456121040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683517217 (or 683517208 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 5413456121040 in words is "five trillion, four hundred thirteen billion, four hundred fifty-six million, one hundred twenty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 33 36 40 44 45 48 55 60 66 72 80 88 90 99 110 120 132 144 165 176 180 198 220 240 264 330 360 396 440 495 528 660 720 792 880 990 1320 1584 1980 2640 3960 7920 683517187 1367034374 2050551561 2734068748 3417585935 4101103122 5468137496 6151654683 6835171870 7518689057 8202206244 10252757805 10936274992 12303309366 13670343740 15037378114 16404412488 20505515610 22556067171 24606618732 27340687480 30074756228 30758273415 32808824976 37593445285 41011031220 45112134342 49213237464 54681374960 60149512456 61516546830 67668201513 75186890570 82022062440 90224268684 98426474928 112780335855 120299024912 123033093660 135336403026 150373781140 164044124880 180448537368 225560671710 246066187320 270672806052 300747562280 338341007565 360897074736 451121343420 492132374640 541345612104 601495124560 676682015130 902242686840 1082691224208 1353364030260 1804485373680 2706728060520 5413456121040