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3442403040999 = 3131937569220663
BaseRepresentation
bin110010000101111111001…
…101011101111011100111
3110012002102222122022110220
4302011333031131323213
5422400020134302444
611153230152015423
7503463646026246
oct62057715357347
913162388568426
103442403040999
111107a0785640a
124771b1991573
131bc804032640
14bc88287895d
155e828a9b619
hex3217f35dee7

3442403040999 has 64 divisors (see below), whose sum is σ = 5353132108800. Its totient is φ = 1949225720832.

The previous prime is 3442403040953. The next prime is 3442403041013. The reversal of 3442403040999 is 9990403042443.

It is a happy number.

It is not a de Polignac number, because 3442403040999 - 28 = 3442403040743 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3442403040949) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15489942 + ... + 15710604.

It is an arithmetic number, because the mean of its divisors is an integer number (83642689200).

Almost surely, 23442403040999 is an apocalyptic number.

3442403040999 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

3442403040999 is a deficient number, since it is larger than the sum of its proper divisors (1910729067801).

3442403040999 is a wasteful number, since it uses less digits than its factorization.

3442403040999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221304.

The product of its (nonzero) digits is 3359232, while the sum is 51.

The spelling of 3442403040999 in words is "three trillion, four hundred forty-two billion, four hundred three million, forty thousand, nine hundred ninety-nine".

Divisors: 1 3 13 19 37 39 57 111 247 481 569 703 741 1443 1707 2109 7397 9139 10811 21053 22191 27417 32433 63159 140543 220663 273689 400007 421629 661989 821067 1200021 2868619 4192597 5200091 8164531 8605857 12577791 15600273 24493593 54503761 106138903 125557247 155126089 163511283 318416709 376671741 465378267 1632244211 2016639157 2385587693 4645618139 4896732633 6049917471 7156763079 13936854417 31012640009 60393035807 88266744641 93037920027 181179107421 264800233923 1147467680333 3442403040999