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440142135400 = 235211316453697
BaseRepresentation
bin1100110011110101000…
…01000000000001101000
31120002002021002010121101
412121322201000001220
524202402341313100
6534110513251144
743541063264512
oct6317241000150
91502067063541
10440142135400
1115a732840910
1271376863ab4
1332674c97b96
14174355acbb2
15b6b0b0986a
hex667a840068

440142135400 has 96 divisors (see below), whose sum is σ = 1152372314880. Its totient is φ = 154888704000.

The previous prime is 440142135373. The next prime is 440142135457. The reversal of 440142135400 is 4531241044.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3158649 + ... + 3295048.

It is an arithmetic number, because the mean of its divisors is an integer number (12003878280).

Almost surely, 2440142135400 is an apocalyptic number.

440142135400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

440142135400 is an abundant number, since it is smaller than the sum of its proper divisors (712230179480).

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

440142135400 is a wasteful number, since it uses less digits than its factorization.

440142135400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6453755 (or 6453746 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

Adding to 440142135400 its reverse (4531241044), we get a palindrome (444673376444).

The spelling of 440142135400 in words is "four hundred forty billion, one hundred forty-two million, one hundred thirty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 31 40 44 50 55 62 88 100 110 124 155 200 220 248 275 310 341 440 550 620 682 775 1100 1240 1364 1550 1705 2200 2728 3100 3410 6200 6820 8525 13640 17050 34100 68200 6453697 12907394 25814788 32268485 51629576 64536970 70990667 129073940 141981334 161342425 200064607 258147880 283962668 322684850 354953335 400129214 567925336 645369700 709906670 800258428 1000323035 1290739400 1419813340 1600516856 1774766675 2000646070 2200710677 2839626680 3549533350 4001292140 4401421354 5001615175 7099066700 8002584280 8802842708 10003230350 11003553385 14198133400 17605685416 20006460700 22007106770 40012921400 44014213540 55017766925 88028427080 110035533850 220071067700 440142135400