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345555155040 = 25353132300021
BaseRepresentation
bin1010000011101001011…
…00010011100001100000
31020000221022222200100120
411001310230103201200
521130144104430130
6422425034120240
733652115232414
oct5016454234140
91200838880316
10345555155040
11123604970567
1256b79880080
132677ca66754
1412a21402d44
158ec6c0c910
hex5074b13860

345555155040 has 96 divisors (see below), whose sum is σ = 1091976844896. Its totient is φ = 91853598720.

The previous prime is 345555155003. The next prime is 345555155051. The reversal of 345555155040 is 40551555543.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 345555154983 and 345555155001.

It is a congruent number.

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, 999771 + ... + 1300250.

It is an arithmetic number, because the mean of its divisors is an integer number (11374758801).

Almost surely, 2345555155040 is an apocalyptic number.

345555155040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

345555155040 is an abundant number, since it is smaller than the sum of its proper divisors (746421689856).

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

345555155040 is a wasteful number, since it uses less digits than its factorization.

345555155040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2300352 (or 2300344 counting only the distinct ones).

The product of its (nonzero) digits is 750000, while the sum is 42.

The spelling of 345555155040 in words is "three hundred forty-five billion, five hundred fifty-five million, one hundred fifty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 313 480 626 939 1252 1565 1878 2504 3130 3756 4695 5008 6260 7512 9390 10016 12520 15024 18780 25040 30048 37560 50080 75120 150240 2300021 4600042 6900063 9200084 11500105 13800126 18400168 23000210 27600252 34500315 36800336 46000420 55200504 69000630 73600672 92000840 110401008 138001260 184001680 220802016 276002520 368003360 552005040 719906573 1104010080 1439813146 2159719719 2879626292 3599532865 4319439438 5759252584 7199065730 8638878876 10798598595 11518505168 14398131460 17277757752 21597197190 23037010336 28796262920 34555515504 43194394380 57592525840 69111031008 86388788760 115185051680 172777577520 345555155040