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1429912064 = 2973741263
BaseRepresentation
bin101010100111010…
…1011101000000000
310200122122001121002
41111032223220000
510412024141224
6353515551132
750302023560
oct12516535000
93618561532
101429912064
1167416a109
1233aa5b4a8
1319a322719
14d7c9ada0
15858029ae
hex553aba00

1429912064 has 160 divisors (see below), whose sum is σ = 3448279296. Its totient is φ = 579502080.

The previous prime is 1429912061. The next prime is 1429912073. The reversal of 1429912064 is 4602199241.

It is not an unprimeable number, because it can be changed into a prime (1429912061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5436797 + ... + 5437059.

Almost surely, 21429912064 is an apocalyptic number.

1429912064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1429912064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1724139648).

1429912064 is an abundant number, since it is smaller than the sum of its proper divisors (2018367232).

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

1429912064 is an equidigital number, since it uses as much as digits as its factorization.

1429912064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 1429912064 is about 37814.1780817725. The cubic root of 1429912064 is about 1126.6000774497.

The spelling of 1429912064 in words is "one billion, four hundred twenty-nine million, nine hundred twelve thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 37 41 56 64 74 82 112 128 148 164 224 256 259 263 287 296 328 448 512 518 526 574 592 656 896 1036 1052 1148 1184 1312 1517 1792 1841 2072 2104 2296 2368 2624 3034 3584 3682 4144 4208 4592 4736 5248 6068 7364 8288 8416 9184 9472 9731 10496 10619 10783 12136 14728 16576 16832 18368 18944 19462 20992 21238 21566 24272 29456 33152 33664 36736 38924 42476 43132 48544 58912 66304 67328 68117 73472 75481 77848 84952 86264 97088 117824 132608 134656 136234 146944 150962 155696 169904 172528 194176 235648 272468 301924 311392 339808 345056 388352 398971 471296 544936 603848 622784 679616 690112 776704 797942 942592 1089872 1207696 1245568 1359232 1380224 1595884 2179744 2415392 2491136 2718464 2760448 2792797 3191768 4359488 4830784 4982272 5436928 5520896 5585594 6383536 8718976 9661568 11171188 12767072 17437952 19323136 22342376 25534144 34875904 38646272 44684752 51068288 89369504 102136576 178739008 204273152 357478016 714956032 1429912064