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314000099964 = 223453127143981
BaseRepresentation
bin1001001000110111101…
…11010100101001111100
31010000111012120210110000
410210123313110221330
520121033011144324
6400125531514300
731454133545325
oct4443367245174
91100435523400
10314000099964
11111191963651
1250a31bb8990
13237c1474125
14112aa64344c
15827b8119c9
hex491bdd4a7c

314000099964 has 120 divisors (see below), whose sum is σ = 842937435648. Its totient is φ = 101882551680.

The previous prime is 314000099923. The next prime is 314000100047. The reversal of 314000099964 is 469990000413.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2108854 + ... + 2252834.

Almost surely, 2314000099964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314000099964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421468717824).

314000099964 is an abundant number, since it is smaller than the sum of its proper divisors (528937335684).

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

314000099964 is a wasteful number, since it uses less digits than its factorization.

314000099964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144177 (or 144166 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 314000099964 in words is "three hundred fourteen billion, ninety-nine thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 81 106 108 127 159 162 212 254 318 324 381 477 508 636 762 954 1143 1431 1524 1908 2286 2862 3429 4293 4572 5724 6731 6858 8586 10287 13462 13716 17172 20193 20574 26924 40386 41148 60579 80772 121158 143981 181737 242316 287962 363474 431943 545211 575924 726948 863886 1090422 1295829 1727772 2180844 2591658 3887487 5183316 7630993 7774974 11662461 15261986 15549948 18285587 22892979 23324922 30523972 36571174 45785958 46649844 54856761 68678937 73142348 91571916 109713522 137357874 164570283 206036811 219427044 274715748 329140566 412073622 493710849 618110433 658281132 824147244 969136111 987421698 1236220866 1481132547 1938272222 1974843396 2472441732 2907408333 2962265094 3876544444 5814816666 5924530188 8722224999 11629633332 17444449998 26166674997 34888899996 52333349994 78500024991 104666699988 157000049982 314000099964