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149349405944064 = 2831492275749501
BaseRepresentation
bin100001111101010100011110…
…010010011110100100000000
3201120210122220212222101202210
4201331110132102132210000
5124033420040410202224
61245350100411342120
743313065335421164
oct4175243622364400
9646718825871683
10149349405944064
11436508001406a7
1214900ab9a51940
136544786074801
1428c479a9a8ca4
15123edc29c5429
hex87d51e49e900

149349405944064 has 144 divisors (see below), whose sum is σ = 401917787409600. Its totient is φ = 49231174656000.

The previous prime is 149349405944021. The next prime is 149349405944113. The reversal of 149349405944064 is 460449504943941.

It is a junction number, because it is equal to n+sod(n) for n = 149349405943986 and 149349405944004.

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, 23101314 + ... + 28850814.

It is an arithmetic number, because the mean of its divisors is an integer number (2791095745900).

Almost surely, 2149349405944064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149349405944064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200958893704800).

149349405944064 is an abundant number, since it is smaller than the sum of its proper divisors (252568381465536).

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

149349405944064 is a wasteful number, since it uses less digits than its factorization.

149349405944064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5749896 (or 5749882 counting only the distinct ones).

The product of its (nonzero) digits is 268738560, while the sum is 66.

The spelling of 149349405944064 in words is "one hundred forty-nine trillion, three hundred forty-nine billion, four hundred five million, nine hundred forty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 149 192 227 256 298 384 447 454 596 681 768 894 908 1192 1362 1788 1816 2384 2724 3576 3632 4768 5448 7152 7264 9536 10896 14304 14528 19072 21792 28608 29056 33823 38144 43584 57216 58112 67646 87168 101469 114432 135292 174336 202938 270584 405876 541168 811752 1082336 1623504 2164672 3247008 4329344 5749501 6494016 8658688 11499002 12988032 17248503 22998004 25976064 34497006 45996008 68994012 91992016 137988024 183984032 275976048 367968064 551952096 735936128 856675649 1103904192 1305136727 1471872256 1713351298 2207808384 2570026947 2610273454 3426702596 3915410181 4415616768 5140053894 5220546908 6853405192 7830820362 10280107788 10441093816 13706810384 15661640724 20560215576 20882187632 27413620768 31323281448 41120431152 41764375264 54827241536 62646562896 82240862304 83528750528 109654483072 125293125792 164481724608 167057501056 194465372323 219308966144 250586251584 328963449216 334115002112 388930744646 501172503168 583396116969 657926898432 777861489292 1002345006336 1166792233938 1555722978584 2333584467876 3111445957168 4667168935752 6222891914336 9334337871504 12445783828672 18668675743008 24891567657344 37337351486016 49783135314688 74674702972032 149349405944064