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214011153104 = 24731479128683
BaseRepresentation
bin1100011101010000001…
…1110000101011010000
3202110101210202000020212
43013110003300223100
512001243323344404
6242152041423252
721314252533610
oct3072403605320
9673353660225
10214011153104
1182841797981
1235587a9ab28
1317248034708
14a502c5ca40
15587855c06e
hex31d40f0ad0

214011153104 has 80 divisors (see below), whose sum is σ = 490193387520. Its totient is φ = 88574394240.

The previous prime is 214011153071. The next prime is 214011153149. The reversal of 214011153104 is 401351110412.

It is a self number, because there is not a number n which added to its sum of digits gives 214011153104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1598747 + ... + 1727429.

It is an arithmetic number, because the mean of its divisors is an integer number (6127417344).

Almost surely, 2214011153104 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 214011153104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245096693760).

214011153104 is an abundant number, since it is smaller than the sum of its proper divisors (276182234416).

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

214011153104 is a wasteful number, since it uses less digits than its factorization.

214011153104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129208 (or 129202 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 23.

Adding to 214011153104 its reverse (401351110412), we get a palindrome (615362263516).

The spelling of 214011153104 in words is "two hundred fourteen billion, eleven million, one hundred fifty-three thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 112 124 217 248 434 479 496 868 958 1736 1916 3353 3472 3832 6706 7664 13412 14849 26824 29698 53648 59396 103943 118792 128683 207886 237584 257366 415772 514732 831544 900781 1029464 1663088 1801562 2058928 3603124 3989173 7206248 7978346 14412496 15956692 27924211 31913384 55848422 61639157 63826768 111696844 123278314 223393688 246556628 431474099 446787376 493113256 862948198 986226512 1725896396 1910813867 3451792792 3821627734 6903585584 7643255468 13375697069 15286510936 26751394138 30573021872 53502788276 107005576552 214011153104