Search a number
-
+
400370040414 = 232313112307103
BaseRepresentation
bin1011101001101111110…
…10011111111001011110
31102021102110212101000100
411310313322133321132
523024424212243124
6503532155241530
740632354123021
oct5646772377136
91367373771010
10400370040414
111448834a5223
12657171492a6
132b9a71c0176
14155413a91b8
15a6341401c9
hex5d37e9fe5e

400370040414 has 48 divisors (see below), whose sum is σ = 898330927104. Its totient is φ = 128736291600.

The previous prime is 400370040407. The next prime is 400370040419. The reversal of 400370040414 is 414040073004.

It is a super-3 number, since 3×4003700404143 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400370040419) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 980014 + ... + 1327089.

It is an arithmetic number, because the mean of its divisors is an integer number (18715227648).

Almost surely, 2400370040414 is an apocalyptic number.

400370040414 is an abundant number, since it is smaller than the sum of its proper divisors (497960886690).

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

400370040414 is a wasteful number, since it uses less digits than its factorization.

400370040414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2307453 (or 2307450 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The spelling of 400370040414 in words is "four hundred billion, three hundred seventy million, forty thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 311 558 622 933 1866 2799 5598 9641 19282 28923 57846 86769 173538 2307103 4614206 6921309 13842618 20763927 41527854 71520193 143040386 214560579 429121158 643681737 717509033 1287363474 1435018066 2152527099 4305054198 6457581297 12915162594 22242780023 44485560046 66728340069 133456680138 200185020207 400370040414