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150241334404304 = 241113831087727823
BaseRepresentation
bin100010001010010011001001…
…010111100010010011010000
3201200221221010220201210000002
4202022103021113202103100
5124143023223101414204
61251311525521545132
743434402216302633
oct4212231127422320
9650857126653002
10150241334404304
1143964aa0540180
1214a2593aaa51a8
1365aa90a530190
142915a0ddc3c1a
1512581c65c491e
hex88a4c95e24d0

150241334404304 has 160 divisors (see below), whose sum is σ = 346422051569664. Its totient is φ = 62221444554240.

The previous prime is 150241334404303. The next prime is 150241334404367. The reversal of 150241334404304 is 403404433142051.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150241334404303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 206061737 + ... + 206789559.

Almost surely, 2150241334404304 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 150241334404304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173211025784832).

150241334404304 is an abundant number, since it is smaller than the sum of its proper divisors (196180717165360).

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

150241334404304 is a wasteful number, since it uses less digits than its factorization.

150241334404304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729025 (or 729019 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 38.

Adding to 150241334404304 its reverse (403404433142051), we get a palindrome (553645767546355).

The spelling of 150241334404304 in words is "one hundred fifty trillion, two hundred forty-one billion, three hundred thirty-four million, four hundred four thousand, three hundred four".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 83 88 104 143 166 176 208 286 332 572 664 913 1079 1087 1144 1328 1826 2158 2174 2288 3652 4316 4348 7304 8632 8696 11869 11957 14131 14608 17264 17392 23738 23914 28262 47476 47828 56524 90221 94952 95656 113048 155441 180442 189904 191312 226096 310882 360884 621764 721768 727823 992431 1172873 1243528 1443536 1455646 1984862 2345746 2487056 2911292 3969724 4691492 5822584 7939448 8006053 9382984 9461699 11645168 12901603 15878896 16012106 18765968 18923398 25803206 32024212 37846796 51606412 60409309 64048424 75693592 103212824 104078689 120818618 128096848 151387184 206425648 208157378 241637236 416314756 483274472 664502399 785321017 791143601 832629512 966548944 1329004798 1570642034 1582287202 1665259024 2658009596 3141284068 3164574404 5316019192 6282568136 6329148808 8638531187 8702579611 10284866813 10632038384 12565136272 12658297616 17277062374 17405159222 20569733626 34554124748 34810318444 41139467252 65664918883 69108249496 69620636888 82278934504 113133534943 131329837766 138216498992 139241273776 164557869008 226267069886 262659675532 452534139772 525319351064 722314107713 853643945479 905068279544 1050638702128 1444628215426 1707287890958 1810136559088 2889256430852 3414575781916 5778512861704 6829151563832 9390083400269 11557025723408 13658303127664 18780166800538 37560333601076 75120667202152 150241334404304