Search a number
-
+
14003838264 = 233131710126141
BaseRepresentation
bin11010000101011000…
…11001110100111000
31100010221200200200110
431002230121310320
5212134440311024
610233330504320
71004012442543
oct150254316470
940127620613
1014003838264
115a3688aa59
122869a350a0
131422353c40
1496bbd585a
1556e640629
hex342b19d38

14003838264 has 128 divisors (see below), whose sum is σ = 40317238080. Its totient is φ = 4015104000.

The previous prime is 14003838253. The next prime is 14003838287. The reversal of 14003838264 is 46283830041.

It is a happy number.

It is a super-2 number, since 2×140038382642 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 522634 + ... + 548774.

Almost surely, 214003838264 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 14003838264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20158619040).

14003838264 is an abundant number, since it is smaller than the sum of its proper divisors (26313399816).

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

14003838264 is a wasteful number, since it uses less digits than its factorization.

14003838264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26281 (or 26277 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The spelling of 14003838264 in words is "fourteen billion, three million, eight hundred thirty-eight thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 51 52 68 78 101 102 104 136 156 202 204 221 303 312 404 408 442 606 663 808 884 1212 1313 1326 1717 1768 2424 2626 2652 3434 3939 5151 5252 5304 6868 7878 10302 10504 13736 15756 20604 22321 26141 31512 41208 44642 52282 66963 78423 89284 104564 133926 156846 178568 209128 267852 313692 339833 444397 535704 627384 679666 888794 1019499 1333191 1359332 1777588 2038998 2640241 2666382 2718664 3555176 4077996 5280482 5332764 5777161 7920723 8155992 10560964 10665528 11554322 15841446 17331483 21121928 23108644 31682892 34323133 34662966 44884097 46217288 63365784 68646266 69325932 89768194 102969399 134652291 137292532 138651864 179536388 205938798 269304582 274585064 359072776 411877596 538609164 583493261 823755192 1077218328 1166986522 1750479783 2333973044 3500959566 4667946088 7001919132 14003838264