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1424977029 = 387192371
BaseRepresentation
bin101010011101111…
…0110110010000101
310200022100100000000
41110323312302011
510404243231104
6353222111513
750212050660
oct12473666205
93608310000
101424977029
116713a9373
1233927b599
131992b5398
14d73746d7
158517a639
hex54ef6c85

1424977029 has 144 divisors (see below), whose sum is σ = 2720839680. Its totient is φ = 727483680.

The previous prime is 1424977007. The next prime is 1424977039. The reversal of 1424977029 is 9207794241.

It is a happy number.

It is not a de Polignac number, because 1424977029 - 27 = 1424976901 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1424977039) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 20070064 + ... + 20070134.

It is an arithmetic number, because the mean of its divisors is an integer number (18894720).

Almost surely, 21424977029 is an apocalyptic number.

1424977029 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

1424977029 is a deficient number, since it is larger than the sum of its proper divisors (1295862651).

1424977029 is an frugal number, since it uses more digits than its factorization.

1424977029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 1424977029 is about 37748.8679167998. The cubic root of 1424977029 is about 1125.3025106481.

The spelling of 1424977029 in words is "one billion, four hundred twenty-four million, nine hundred seventy-seven thousand, twenty-nine".

Divisors: 1 3 7 9 19 21 23 27 57 63 69 71 81 133 161 171 189 207 213 243 399 437 483 497 513 567 621 639 729 1197 1311 1349 1449 1491 1539 1633 1701 1863 1917 2187 3059 3591 3933 4047 4347 4473 4617 4899 5103 5589 5751 6561 9177 9443 10773 11431 11799 12141 13041 13419 13851 14697 15309 16767 17253 27531 28329 31027 32319 34293 35397 36423 39123 40257 41553 44091 45927 50301 51759 82593 84987 93081 96957 102879 106191 109269 117369 120771 124659 132273 150903 155277 217189 247779 254961 279243 290871 308637 318573 327807 352107 362313 396819 465831 651567 743337 764883 837729 872613 925911 955719 983421 1056321 1086939 1190457 1954701 2230011 2294649 2513187 2777733 2867157 2950263 3260817 3571371 5864103 6690033 6883947 7539561 8333199 8850789 10714113 17592309 20070099 20651841 22618683 24999597 52776927 61955523 67856049 74998791 158330781 203568147 474992343 1424977029