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941421312 = 28331310477
BaseRepresentation
bin111000000111001…
…111001100000000
32102121110011021000
4320013033030000
53412000440222
6233225532000
732220643356
oct7007171400
92377404230
10941421312
11443453847
12223344000
1312006a140
148d05d7d6
15579ae9ac
hex381cf300

941421312 has 144 divisors (see below), whose sum is σ = 2998384480. Its totient is φ = 289640448.

The previous prime is 941421289. The next prime is 941421319. The reversal of 941421312 is 213124149.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a zygodrome in base 2 and base 12.

It is not an unprimeable number, because it can be changed into a prime (941421319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84618 + ... + 95094.

Almost surely, 2941421312 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 941421312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499192240).

941421312 is an abundant number, since it is smaller than the sum of its proper divisors (2056963168).

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

941421312 is a wasteful number, since it uses less digits than its factorization.

941421312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10515 (or 10495 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 941421312 is about 30682.5897212083. The cubic root of 941421312 is about 980.0795825973.

The spelling of 941421312 in words is "nine hundred forty-one million, four hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 256 288 312 351 384 416 432 468 576 624 702 768 832 864 936 1152 1248 1404 1664 1728 1872 2304 2496 2808 3328 3456 3744 4992 5616 6912 7488 9984 10477 11232 14976 20954 22464 29952 31431 41908 44928 62862 83816 89856 94293 125724 136201 167632 188586 251448 272402 282879 335264 377172 408603 502896 544804 565758 670528 754344 817206 1005792 1089608 1131516 1225809 1341056 1508688 1634412 2011584 2179216 2263032 2451618 2682112 3017376 3268824 3677427 4023168 4358432 4526064 4903236 6034752 6537648 7354854 8046336 8716864 9052128 9806472 12069504 13075296 14709708 17433728 18104256 19612944 24139008 26150592 29419416 34867456 36208512 39225888 52301184 58838832 72417024 78451776 104602368 117677664 156903552 235355328 313807104 470710656 941421312