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2542434467430 = 2351113857691531
BaseRepresentation
bin100100111111110100111…
…001110011111001100110
3100000001110121222212012110
4210333310321303321212
5313123401210424210
65223551150101450
7351453616255044
oct44776471637146
910001417885173
102542434467430
118a0270a80780
123508a81aa886
1315599ac2a870
148b0a9713394
15462041cb420
hex24ff4e73e66

2542434467430 has 128 divisors (see below), whose sum is σ = 7176973579776. Its totient is φ = 568271692800.

The previous prime is 2542434467371. The next prime is 2542434467539. The reversal of 2542434467430 is 347644342452.

It is a self number, because there is not a number n which added to its sum of digits gives 2542434467430.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3330765 + ... + 4022295.

It is an arithmetic number, because the mean of its divisors is an integer number (56070106092).

Almost surely, 22542434467430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2542434467430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3588486789888).

2542434467430 is an abundant number, since it is smaller than the sum of its proper divisors (4634539112346).

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

2542434467430 is a wasteful number, since it uses less digits than its factorization.

2542434467430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692422.

The product of its (nonzero) digits is 7741440, while the sum is 48.

The spelling of 2542434467430 in words is "two trillion, five hundred forty-two billion, four hundred thirty-four million, four hundred sixty-seven thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 13 15 22 26 30 33 39 55 65 66 78 110 130 143 165 195 286 330 390 429 715 857 858 1430 1714 2145 2571 4285 4290 5142 8570 9427 11141 12855 18854 22282 25710 28281 33423 47135 55705 56562 66846 94270 111410 122551 141405 167115 245102 282810 334230 367653 612755 691531 735306 1225510 1383062 1838265 2074593 3457655 3676530 4149186 6915310 7606841 8989903 10372965 15213682 17979806 20745930 22820523 26969709 38034205 44949515 45641046 53939418 76068410 89899030 98888933 114102615 134848545 197777866 228205230 269697090 296666799 494444665 592642067 593333598 988889330 1185284134 1483333995 1777926201 2963210335 2966667990 3555852402 5926420670 6519062737 7704346871 8889631005 13038125474 15408693742 17779262010 19557188211 23113040613 32595313685 38521734355 39114376422 46226081226 65190627370 77043468710 84747815581 97785941055 115565203065 169495631162 195571882110 231130406130 254243446743 423739077905 508486893486 847478155810 1271217233715 2542434467430