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4101682524240 = 243574356778551
BaseRepresentation
bin111011101011111111010…
…101000111000001010000
3112112010011022022010112110
4323223333111013001100
51014200221211233430
612420141551225320
7602223342130110
oct73537725070120
915463138263473
104101682524240
111341571944074
12562b25218240
13239a30076242
14102745a17040
1571a62c957b0
hex3baff547050

4101682524240 has 160 divisors (see below), whose sum is σ = 14869621426176. Its totient is φ = 915724454400.

The previous prime is 4101682524223. The next prime is 4101682524301. The reversal of 4101682524240 is 424252861014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28317036 + ... + 28461515.

Almost surely, 24101682524240 is an apocalyptic number.

4101682524240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4101682524240 is an abundant number, since it is smaller than the sum of its proper divisors (10767938901936).

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

4101682524240 is a wasteful number, since it uses less digits than its factorization.

4101682524240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56778617 (or 56778611 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The spelling of 4101682524240 in words is "four trillion, one hundred one billion, six hundred eighty-two million, five hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 43 48 56 60 70 80 84 86 105 112 120 129 140 168 172 210 215 240 258 280 301 336 344 420 430 516 560 602 645 688 840 860 903 1032 1204 1290 1505 1680 1720 1806 2064 2408 2580 3010 3440 3612 4515 4816 5160 6020 7224 9030 10320 12040 14448 18060 24080 36120 72240 56778551 113557102 170335653 227114204 283892755 340671306 397449857 454228408 567785510 681342612 794899714 851678265 908456816 1135571020 1192349571 1362685224 1589799428 1703356530 1987249285 2271142040 2384699142 2441477693 2725370448 3179598856 3406713060 3974498570 4542284080 4769398284 4882955386 5961747855 6359197712 6813426120 7324433079 7948997140 9538796568 9765910772 11923495710 12207388465 13626852240 14648866158 15897994280 17090343851 19077593136 19531821544 23846991420 24414776930 29297732316 31795988560 34180687702 36622165395 39063643088 47693982840 48829553860 51271031553 58595464632 68361375404 73244330790 85451719255 95387965680 97659107720 102542063106 117190929264 136722750808 146488661580 170903438510 195318215440 205084126212 256355157765 273445501616 292977323160 341806877020 410168252424 512710315530 585954646320 683613754040 820336504848 1025420631060 1367227508080 2050841262120 4101682524240