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44134449085360 = 2457317834238513
BaseRepresentation
bin10100000100011110110100…
…01010001111101110110000
312210021012201122021220121201
422002033122022033232300
521241044322431212420
6233511030324500544
712203415535320424
oct1202173212175660
9183235648256551
1044134449085360
1113076350a20517
124b4967584a754
131b81b25c259ba
14ac8193b38b84
1551808941d10a
hex2823da28fbb0

44134449085360 has 80 divisors (see below), whose sum is σ = 104076609545664. Its totient is φ = 17402177396736.

The previous prime is 44134449085357. The next prime is 44134449085381. The reversal of 44134449085360 is 6358094443144.

It is a tau number, because it is divible by the number of its divisors (80).

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, 8293464 + ... + 12531976.

Almost surely, 244134449085360 is an apocalyptic number.

44134449085360 is a gapful number since it is divisible by the number (40) 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 44134449085360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52038304772832).

44134449085360 is an abundant number, since it is smaller than the sum of its proper divisors (59942160460304).

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

44134449085360 is a wasteful number, since it uses less digits than its factorization.

44134449085360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4240382 (or 4240376 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 55.

The spelling of 44134449085360 in words is "forty-four trillion, one hundred thirty-four billion, four hundred forty-nine million, eighty-five thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 73 80 146 292 365 584 730 1168 1460 1783 2920 3566 5840 7132 8915 14264 17830 28528 35660 71320 130159 142640 260318 520636 650795 1041272 1301590 2082544 2603180 4238513 5206360 8477026 10412720 16954052 21192565 33908104 42385130 67816208 84770260 169540520 309411449 339081040 618822898 1237645796 1547057245 2475291592 3094114490 4950583184 6188228980 7557268679 12376457960 15114537358 24752915920 30229074716 37786343395 60458149432 75572686790 120916298864 151145373580 302290747160 551680613567 604581494320 1103361227134 2206722454268 2758403067835 4413444908536 5516806135670 8826889817072 11033612271340 22067224542680 44134449085360