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133023242044 = 2271131109127817
BaseRepresentation
bin111101111100011001…
…1011001011100111100
3110201100121200212001101
41323320303121130330
54134412422221134
6141035433422444
712416303621050
oct1737063313474
9421317625041
10133023242044
1151462174680
122194526aa24
13c70c336054
14661cc01c60
1536d8498e14
hex1ef8cd973c

133023242044 has 96 divisors (see below), whose sum is σ = 302345809920. Its totient is φ = 49694860800.

The previous prime is 133023242003. The next prime is 133023242057. The reversal of 133023242044 is 440242320331.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 976824 + ... + 1104640.

It is an arithmetic number, because the mean of its divisors is an integer number (3149435520).

Almost surely, 2133023242044 is an apocalyptic number.

133023242044 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133023242044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151172904960).

133023242044 is an abundant number, since it is smaller than the sum of its proper divisors (169322567876).

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

133023242044 is a wasteful number, since it uses less digits than its factorization.

133023242044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127979 (or 127977 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 133023242044 its reverse (440242320331), we get a palindrome (573265562375).

The spelling of 133023242044 in words is "one hundred thirty-three billion, twenty-three million, two hundred forty-two thousand, forty-four".

Divisors: 1 2 4 7 11 14 22 28 31 44 62 77 109 124 154 217 218 308 341 434 436 682 763 868 1199 1364 1526 2387 2398 3052 3379 4774 4796 6758 8393 9548 13516 16786 23653 33572 37169 47306 74338 94612 127817 148676 255634 260183 511268 520366 894719 1040732 1405987 1789438 2811974 3578876 3962327 5623948 7924654 9841909 13932053 15849308 19683818 27736289 27864106 39367636 43585597 55472578 55728212 87171194 97524371 110945156 153252583 174342388 195048742 305099179 306505166 390097484 431893643 610198358 613010332 863787286 1072768081 1220396716 1727574572 2145536162 3023255501 4291072324 4750830073 6046511002 9501660146 12093022004 19003320292 33255810511 66511621022 133023242044