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424406825154 = 234131780914653
BaseRepresentation
bin1100010110100001001…
…11100011100011000010
31111120110122022112220000
412023100213203203002
523423141121401104
6522545251100430
742443124330444
oct6132047434302
91446418275800
10424406825154
11153a98652384
126a304ba1716
1331037cc8710
141678185c494
15b08e49a639
hex62d09e38c2

424406825154 has 160 divisors (see below), whose sum is σ = 1085796336240. Its totient is φ = 122744844288.

The previous prime is 424406825153. The next prime is 424406825173. The reversal of 424406825154 is 451528604424.

It can be written as a sum of positive squares in 8 ways, for example, as 344365927929 + 80040897225 = 586827^2 + 282915^2 .

It is a super-3 number, since 3×4244068251543 (a number of 36 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (424406825153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 28956492 + ... + 28971144.

Almost surely, 2424406825154 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424406825154, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542898168120).

424406825154 is an abundant number, since it is smaller than the sum of its proper divisors (661389511086).

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

424406825154 is a wasteful number, since it uses less digits than its factorization.

424406825154 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15506 (or 15497 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 45.

The spelling of 424406825154 in words is "four hundred twenty-four billion, four hundred six million, eight hundred twenty-five thousand, one hundred fifty-four".

Divisors: 1 2 3 6 9 13 17 18 26 27 34 39 51 54 78 81 102 117 153 162 221 234 306 351 442 459 663 702 809 918 1053 1326 1377 1618 1989 2106 2427 2754 3978 4854 5967 7281 10517 11934 13753 14562 14653 17901 21034 21843 27506 29306 31551 35802 41259 43686 43959 63102 65529 82518 87918 94653 123777 131058 131877 178789 189306 190489 247554 249101 263754 283959 357578 371331 380978 395631 498202 536367 567918 571467 742662 747303 791262 851877 1072734 1113993 1142934 1186893 1494606 1609101 1703754 1714401 2227986 2241909 2373786 3218202 3238313 3428802 4483818 4827303 5143203 6476626 6725727 9654606 9714939 10286406 11854277 13451454 14481909 15429609 19429878 20177181 23708554 28963818 29144817 30859218 35562831 40354362 58289634 71125662 87434451 106688493 154105601 174868902 201522709 213376986 262303353 308211202 320065479 403045418 462316803 524606706 604568127 640130958 924633606 960196437 1209136254 1386950409 1813704381 1920392874 2619795217 2773900818 3627408762 4160851227 5239590434 5441113143 7859385651 8321702454 10882226286 12482553681 15718771302 16323339429 23578156953 24965107362 32646678858 47156313906 70734470859 141468941718 212203412577 424406825154