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1041355205040 = 243541105828781
BaseRepresentation
bin11110010011101011001…
…10110110100110110000
310200112220211112111210210
433021311212312212300
5114030143413030130
62114220400024120
7135143516123643
oct17116546664660
93615824474723
101041355205040
113716aa9575a7
121499a3902040
1377279044677
143858a9c5a5a
151c14c1e55b0
hexf2759b69b0

1041355205040 has 80 divisors (see below), whose sum is σ = 3306937779936. Its totient is φ = 270921676800.

The previous prime is 1041355205029. The next prime is 1041355205041. The reversal of 1041355205040 is 405025531401.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×10413552050403 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1041355204989 and 1041355205007.

It is not an unprimeable number, because it can be changed into a prime (1041355205041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52904551 + ... + 52924230.

Almost surely, 21041355205040 is an apocalyptic number.

1041355205040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1041355205040 is an abundant number, since it is smaller than the sum of its proper divisors (2265582574896).

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

1041355205040 is a wasteful number, since it uses less digits than its factorization.

1041355205040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105828838 (or 105828832 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 1041355205040 in words is "one trillion, forty-one billion, three hundred fifty-five million, two hundred five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 120 123 164 205 240 246 328 410 492 615 656 820 984 1230 1640 1968 2460 3280 4920 9840 105828781 211657562 317486343 423315124 529143905 634972686 846630248 1058287810 1269945372 1587431715 1693260496 2116575620 2539890744 3174863430 4233151240 4338980021 5079781488 6349726860 8466302480 8677960042 12699453720 13016940063 17355920084 21694900105 25398907440 26033880126 34711840168 43389800210 52067760252 65084700315 69423680336 86779600420 104135520504 130169400630 173559200840 208271041008 260338801260 347118401680 520677602520 1041355205040