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1914126102 = 2327223157601
BaseRepresentation
bin111001000010111…
…0011111100010110
311221101202200101100
41302011303330112
512410004013402
6513534210530
765301542400
oct16205637426
94841680340
101914126102
118a25242a9
12455053a46
1324673b4c5
14142303b70
15b309d71c
hex72173f16

1914126102 has 144 divisors (see below), whose sum is σ = 5074628832. Its totient is φ = 518918400.

The previous prime is 1914126083. The next prime is 1914126113. The reversal of 1914126102 is 2016214191.

1914126102 is a `hidden beast` number, since 1 + 9 + 1 + 41 + 2 + 610 + 2 = 666.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 3184602 + ... + 3185202.

It is an arithmetic number, because the mean of its divisors is an integer number (35240478).

Almost surely, 21914126102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1914126102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2537314416).

1914126102 is an abundant number, since it is smaller than the sum of its proper divisors (3160502730).

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

1914126102 is a wasteful number, since it uses less digits than its factorization.

1914126102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 1914126102 is about 43750.7268739618. The cubic root of 1914126102 is about 1241.6242377306.

The spelling of 1914126102 in words is "one billion, nine hundred fourteen million, one hundred twenty-six thousand, one hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 49 63 69 98 126 138 147 157 161 207 294 314 322 414 441 471 483 601 882 942 966 1099 1127 1202 1413 1449 1803 2198 2254 2826 2898 3297 3381 3606 3611 4207 5409 6594 6762 7222 7693 8414 9891 10143 10818 10833 12621 13823 15386 19782 20286 21666 23079 25242 25277 27646 29449 32499 37863 41469 46158 50554 58898 64998 69237 75726 75831 82938 88347 94357 96761 124407 138474 151662 176694 176939 188714 193522 227493 248814 265041 283071 290283 353878 454986 530082 530817 566142 580566 660499 677327 849213 870849 1061634 1320998 1354654 1592451 1698426 1741698 1981497 2031981 2170211 3184902 3962994 4063962 4340422 4623493 5944491 6095943 6510633 9246986 11888982 12191886 13021266 13870479 15191477 19531899 27740958 30382954 39063798 41611437 45574431 83222874 91148862 106340339 136723293 212680678 273446586 319021017 638042034 957063051 1914126102