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14540661096 = 23313472713659
BaseRepresentation
bin11011000101011000…
…01110000101101000
31101112100211010011120
431202230032011220
5214234402123341
610402504455240
71023221402643
oct154254160550
941470733146
1014540661096
116191907995
12299977a520
1314a962c6a0
149bd214a5a
155a182e066
hex362b0e168

14540661096 has 128 divisors (see below), whose sum is σ = 40139366400. Its totient is φ = 4361506560.

The previous prime is 14540661089. The next prime is 14540661127. The reversal of 14540661096 is 69016604541.

It is a super-3 number, since 3×145406610963 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 3972115 + ... + 3975773.

It is an arithmetic number, because the mean of its divisors is an integer number (313588800).

Almost surely, 214540661096 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 14540661096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20069683200).

14540661096 is an abundant number, since it is smaller than the sum of its proper divisors (25598705304).

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

14540661096 is a wasteful number, since it uses less digits than its factorization.

14540661096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3999 (or 3995 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 14540661096 in words is "fourteen billion, five hundred forty million, six hundred sixty-one thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 47 52 78 94 104 141 156 188 271 282 312 376 542 564 611 813 1084 1128 1222 1626 1833 2168 2444 3252 3523 3659 3666 4888 6504 7046 7318 7332 10569 10977 12737 14092 14636 14664 21138 21954 25474 28184 29272 38211 42276 43908 47567 50948 76422 84552 87816 95134 101896 142701 152844 165581 171973 190268 285402 305688 331162 343946 380536 496743 515919 570804 662324 687892 991589 993486 1031838 1141608 1324648 1375784 1983178 1986972 2063676 2235649 2974767 3966356 3973944 4127352 4471298 5949534 6706947 7932712 8942596 11899068 12890657 13413894 17885192 23798136 25781314 26827788 38671971 46604683 51562628 53655576 77343942 93209366 103125256 139814049 154687884 186418732 279628098 309375768 372837464 559256196 605860879 1118512392 1211721758 1817582637 2423443516 3635165274 4846887032 7270330548 14540661096