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41314143432 = 233127122311083
BaseRepresentation
bin100110011110100000…
…111100110011001000
310221122020211221101110
4212132200330303020
51134102410042212
630551321250320
72661542265522
oct463640746310
9127566757343
1041314143432
11165808364a1
1280100339a0
133b85400023
141ddcd30a12
15111c06ca3c
hex99e83ccc8

41314143432 has 64 divisors (see below), whose sum is σ = 104193146880. Its totient is φ = 13650541632.

The previous prime is 41314143413. The next prime is 41314143443. The reversal of 41314143432 is 23434141314.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 41314143432.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3722163 + ... + 3733245.

It is an arithmetic number, because the mean of its divisors is an integer number (1628017920).

Almost surely, 241314143432 is an apocalyptic number.

It is an amenable number.

41314143432 is an abundant number, since it is smaller than the sum of its proper divisors (62879003448).

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

41314143432 is a wasteful number, since it uses less digits than its factorization.

41314143432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12442 (or 12438 counting only the distinct ones).

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

Adding to 41314143432 its reverse (23434141314), we get a palindrome (64748284746).

The spelling of 41314143432 in words is "forty-one billion, three hundred fourteen million, one hundred forty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 127 254 381 508 762 1016 1223 1524 2446 3048 3669 4892 7338 9784 11083 14676 22166 29352 33249 44332 66498 88664 132996 155321 265992 310642 465963 621284 931926 1242568 1407541 1863852 2815082 3727704 4222623 5630164 8445246 11260328 13554509 16890492 27109018 33780984 40663527 54218036 81327054 108436072 162654108 325308216 1721422643 3442845286 5164267929 6885690572 10328535858 13771381144 20657071716 41314143432