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422871448122 = 234171375232143
BaseRepresentation
bin1100010011101010001…
…10100011101000111010
31111102111122020022120000
412021311012203220322
523412020042314442
6522133042413430
742360102000534
oct6116506435072
91442448208500
10422871448122
1115337a9a9942
1269b56961276
1330b51b9abb6
141667798a854
15aeee7b3d4c
hex62751a3a3a

422871448122 has 160 divisors (see below), whose sum is σ = 1013011287552. Its totient is φ = 131384042496.

The previous prime is 422871448093. The next prime is 422871448147. The reversal of 422871448122 is 221844178224.

422871448122 is a `hidden beast` number, since 4 + 2 + 2 + 87 + 1 + 448 + 122 = 666.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 197325783 + ... + 197327925.

Almost surely, 2422871448122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422871448122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506505643776).

422871448122 is an abundant number, since it is smaller than the sum of its proper divisors (590139839430).

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

422871448122 is a wasteful number, since it uses less digits than its factorization.

422871448122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2834 (or 2825 counting only the distinct ones).

The product of its digits is 458752, while the sum is 45.

The spelling of 422871448122 in words is "four hundred twenty-two billion, eight hundred seventy-one million, four hundred forty-eight thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 137 153 162 274 306 411 459 523 822 918 1046 1233 1377 1569 2143 2329 2466 2754 3138 3699 4286 4658 4707 6429 6987 7398 8891 9414 11097 12858 13974 14121 17782 19287 20961 22194 26673 28242 36431 38574 41922 42363 53346 57861 62883 71651 72862 80019 84726 109293 115722 125766 143302 160038 173583 188649 214953 218586 240057 293591 327879 347166 377298 429906 480114 587182 644859 655758 720171 880773 983637 1120789 1218067 1289718 1440342 1761546 1934577 1967274 2241578 2436134 2642319 2950911 3362367 3654201 3869154 4991047 5284638 5803731 5901822 6724734 7308402 7926957 9982094 10087101 10962603 11607462 14973141 15853914 19053413 20174202 21925206 23780871 29946282 30261303 32887809 38106826 44919423 47561742 57160239 60522606 65775618 89838846 90783909 98663427 114320478 134758269 153548093 171480717 181567818 197326854 269516538 307096186 342961434 404274807 460644279 514442151 808549614 921288558 1028884302 1381932837 1543326453 2610317581 2763865674 3086652906 4145798511 5220635162 7830952743 8291597022 12437395533 15661905486 23492858229 24874791066 46985716458 70478574687 140957149374 211435724061 422871448122