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114232315056640 = 2951116072524297
BaseRepresentation
bin11001111110010011001000…
…100011111001001000000000
3112222110111120110000010121021
4121332103020203321020000
5104433040240123303030
61042541333455435224
733030004154110054
oct3176231043711000
9488414513003537
10114232315056640
113344171a901340
121098aba3225b14
134b980a4298641
14202cc33037c64
15d316a0b1397a
hex67e4c88f9200

114232315056640 has 160 divisors (see below), whose sum is σ = 298974947128704. Its totient is φ = 41513158410240.

The previous prime is 114232315056589. The next prime is 114232315056659. The reversal of 114232315056640 is 46650513232411.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43990972 + ... + 46515268.

Almost surely, 2114232315056640 is an apocalyptic number.

114232315056640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114232315056640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149487473564352).

114232315056640 is an abundant number, since it is smaller than the sum of its proper divisors (184742632072064).

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

114232315056640 is a wasteful number, since it uses less digits than its factorization.

114232315056640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2525938 (or 2525922 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 43.

The spelling of 114232315056640 in words is "one hundred fourteen trillion, two hundred thirty-two billion, three hundred fifteen million, fifty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 512 640 704 880 1280 1408 1607 1760 2560 2816 3214 3520 5632 6428 7040 8035 12856 14080 16070 17677 25712 28160 32140 35354 51424 64280 70708 88385 102848 128560 141416 176770 205696 257120 282832 353540 411392 514240 565664 707080 822784 1028480 1131328 1414160 2056960 2262656 2524297 2828320 4113920 4525312 5048594 5656640 9050624 10097188 11313280 12621485 20194376 22626560 25242970 27767267 40388752 45253120 50485940 55534534 80777504 100971880 111069068 138836335 161555008 201943760 222138136 277672670 323110016 403887520 444276272 555345340 646220032 807775040 888552544 1110690680 1292440064 1615550080 1777105088 2221381360 3231100160 3554210176 4056545279 4442762720 6462200320 7108420352 8113090558 8885525440 14216840704 16226181116 17771050880 20282726395 32452362232 35542101760 40565452790 44621998069 64904724464 71084203520 81130905580 89243996138 129809448928 162261811160 178487992276 223109990345 259618897856 324523622320 356975984552 446219980690 519237795712 649047244640 713951969104 892439961380 1038475591424 1298094489280 1427903938208 1784879922760 2076951182848 2596188978560 2855807876416 3569759845520 5192377957120 5711615752832 7139519691040 10384755914240 11423231505664 14279039382080 22846463011328 28558078764160 57116157528320 114232315056640