Search a number
-
+
401043221436 = 22311131097213043
BaseRepresentation
bin1011101011000000000…
…10011110101110111100
31102100011101120111202210
411311200002132232330
523032314031041221
6504123044020420
740655140064634
oct5654002365674
91370141514683
10401043221436
11145099497080
1265884691710
132ba837cc430
14155a69616c4
15a6732b6276
hex5d6009ebbc

401043221436 has 96 divisors (see below), whose sum is σ = 1100370555648. Its totient is φ = 112077135360.

The previous prime is 401043221431. The next prime is 401043221443. The reversal of 401043221436 is 634122340104.

401043221436 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401043221431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1775931 + ... + 1988973.

It is an arithmetic number, because the mean of its divisors is an integer number (11462193288).

Almost surely, 2401043221436 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 401043221436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550185277824).

401043221436 is an abundant number, since it is smaller than the sum of its proper divisors (699327334212).

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

401043221436 is a wasteful number, since it uses less digits than its factorization.

401043221436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214171 (or 214169 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The spelling of 401043221436 in words is "four hundred one billion, forty-three million, two hundred twenty-one thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 286 429 572 858 1097 1716 2194 3291 4388 6582 12067 13164 14261 24134 28522 36201 42783 48268 57044 72402 85566 144804 156871 171132 213043 313742 426086 470613 627484 639129 852172 941226 1278258 1882452 2343473 2556516 2769559 4686946 5539118 7030419 8308677 9373892 11078236 14060838 16617354 28121676 30465149 33234708 60930298 91395447 121860596 182790894 233708171 365581788 467416342 701124513 934832684 1402249026 2570789881 2804498052 3038206223 5141579762 6076412446 7712369643 9114618669 10283159524 12152824892 15424739286 18229237338 30849478572 33420268453 36458474676 66840536906 100260805359 133681073812 200521610718 401043221436