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140033262464 = 271996618317
BaseRepresentation
bin1000001001101010100…
…0100000001110000000
3111101110011021210021022
42002122220200032000
54243242003344324
6144155210445012
713055104043264
oct2023250401600
9441404253238
10140033262464
115442a142787
1223180a33768
1310288739c24
146ac5c0a0a4
153998ae205e
hex209aa20380

140033262464 has 64 divisors (see below), whose sum is σ = 280832316000. Its totient is φ = 69551032320.

The previous prime is 140033262451. The next prime is 140033262469. The reversal of 140033262464 is 464262330041.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1400332624642 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140033262469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16832834 + ... + 16841150.

Almost surely, 2140033262464 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 140033262464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140416158000).

140033262464 is an abundant number, since it is smaller than the sum of its proper divisors (140799053536).

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

140033262464 is an equidigital number, since it uses as much as digits as its factorization.

140033262464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9191 (or 9179 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 35.

The spelling of 140033262464 in words is "one hundred forty billion, thirty-three million, two hundred sixty-two thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 199 398 661 796 1322 1592 2644 3184 5288 6368 8317 10576 12736 16634 21152 25472 33268 42304 66536 84608 131539 133072 263078 266144 526156 532288 1052312 1064576 1655083 2104624 3310166 4209248 5497537 6620332 8418496 10995074 13240664 16836992 21990148 26481328 43980296 52962656 87960592 105925312 175921184 211850624 351842368 703684736 1094009863 2188019726 4376039452 8752078904 17504157808 35008315616 70016631232 140033262464