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144458688114664 = 237211233314359859
BaseRepresentation
bin100000110110001001101000…
…110010100010111111101000
3200221111010010100112201220121
4200312021220302202333220
5122413302343124132124
61231123223303133024
742266536646656300
oct4066115062427750
9627433110481817
10144458688114664
1142035649457410
121425108a444174
13627b51b867921
142795ba2d4a600
1511a7a7e3562e4
hex836268ca2fe8

144458688114664 has 96 divisors (see below), whose sum is σ = 343873269842400. Its totient is φ = 56258477278080.

The previous prime is 144458688114619. The next prime is 144458688114691. The reversal of 144458688114664 is 466411886854441.

It is a junction number, because it is equal to n+sod(n) for n = 144458688114593 and 144458688114602.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2879967 + ... + 17239825.

It is an arithmetic number, because the mean of its divisors is an integer number (3582013227525).

Almost surely, 2144458688114664 is an apocalyptic number.

144458688114664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144458688114664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171936634921200).

144458688114664 is an abundant number, since it is smaller than the sum of its proper divisors (199414581727736).

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

144458688114664 is a wasteful number, since it uses less digits than its factorization.

144458688114664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14362223 (or 14362212 counting only the distinct ones).

The product of its digits is 566231040, while the sum is 70.

The spelling of 144458688114664 in words is "one hundred forty-four trillion, four hundred fifty-eight billion, six hundred eighty-eight million, one hundred fourteen thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 49 56 77 88 98 154 196 308 392 539 616 1078 2156 2333 4312 4666 9332 16331 18664 25663 32662 51326 65324 102652 114317 130648 179641 205304 228634 359282 457268 718564 914536 1257487 1437128 2514974 5029948 10059896 14359859 28719718 57439436 100519013 114878872 157958449 201038026 315916898 402076052 631833796 703633091 804152104 1105709143 1263667592 1407266182 2211418286 2814532364 4422836572 5629064728 7739964001 8845673144 15479928002 30959856004 33501551047 61919712008 67003102094 134006204188 234510857329 268012408376 368517061517 469021714658 737034123034 938043429316 1474068246068 1641576001303 1876086858632 2579619430619 2948136492136 3283152002606 5159238861238 6566304005212 10318477722476 13132608010424 18057336014333 20636955444952 36114672028666 72229344057332 144458688114664