Search a number
-
+
2542302331254 = 234721731851271
BaseRepresentation
bin100100111111101101000…
…001110000000101110110
3100000001010102100122110000
4210333231001300011312
5313123113344100004
65223530110012130
7351450423156300
oct44775501600566
910001112318400
102542302331254
118a020342a924
1235086baa7046
1315597974498a
148b095d58970
15461e77c9c39
hex24fed070176

2542302331254 has 120 divisors (see below), whose sum is σ = 6665012397648. Its totient is φ = 722173021920.

The previous prime is 2542302331243. The next prime is 2542302331267. The reversal of 2542302331254 is 4521332032452.

2542302331254 is a `hidden beast` number, since 2 + 5 + 42 + 30 + 2 + 331 + 254 = 666.

2542302331254 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×25423023312543 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 447639 + ... + 2298909.

Almost surely, 22542302331254 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2542302331254, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3332506198824).

2542302331254 is an abundant number, since it is smaller than the sum of its proper divisors (4122710066394).

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

2542302331254 is a wasteful number, since it uses less digits than its factorization.

2542302331254 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1851472 (or 1851456 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The spelling of 2542302331254 in words is "two trillion, five hundred forty-two billion, three hundred two million, three hundred thirty-one thousand, two hundred fifty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 173 189 294 346 378 441 519 567 882 1038 1134 1211 1323 1557 2422 2646 3114 3633 3969 4671 7266 7938 8477 9342 10899 14013 16954 21798 25431 28026 32697 50862 65394 76293 98091 152586 196182 228879 457758 686637 1373274 1851271 3702542 5553813 11107626 12958897 16661439 25917794 33322878 38876691 49984317 77753382 90712279 99968634 116630073 149952951 181424558 233260146 272136837 299905902 320269883 349890219 544273674 640539766 699780438 816410511 960809649 1049670657 1632821022 1921619298 2099341314 2241889181 2449231533 2882428947 4483778362 4898463066 5764857894 6725667543 7347694599 8647286841 13451335086 14695389198 15693224267 17294573682 20177002629 25941860523 31386448534 40354005258 47079672801 51883721046 60531007887 94159345602 121062015774 141239018403 181593023661 282478036806 363186047322 423717055209 847434110418 1271151165627 2542302331254