Search a number
-
+
2014525440 = 21132521859
BaseRepresentation
bin111100000010011…
…0011100000000000
312012101200111101100
41320010303200000
513111204303230
6531522134400
7100631120004
oct17004634000
95171614340
102014525440
11944168864
124827b1400
132614919b5
1415179a704
15bbcd1660
hex78133800

2014525440 has 144 divisors (see below), whose sum is σ = 6982302600. Its totient is φ = 537182208.

The previous prime is 2014525439. The next prime is 2014525451. The reversal of 2014525440 is 445254102.

2014525440 is a `hidden beast` number, since 201 + 452 + 5 + 4 + 4 + 0 = 666.

2014525440 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81231 + ... + 103089.

Almost surely, 22014525440 is an apocalyptic number.

2014525440 is a gapful number since it is divisible by the number (20) 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 2014525440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3491151300).

2014525440 is an abundant number, since it is smaller than the sum of its proper divisors (4967777160).

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

2014525440 is a wasteful number, since it uses less digits than its factorization.

2014525440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21892 (or 21869 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 2014525440 is about 44883.4651068743. The cubic root of 2014525440 is about 1262.9638466828.

Adding to 2014525440 its reverse (445254102), we get a palindrome (2459779542).

The spelling of 2014525440 in words is "two billion, fourteen million, five hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1024 1152 1280 1440 1536 1920 2048 2304 2560 2880 3072 3840 4608 5120 5760 6144 7680 9216 10240 11520 15360 18432 21859 23040 30720 43718 46080 65577 87436 92160 109295 131154 174872 196731 218590 262308 327885 349744 393462 437180 524616 655770 699488 786924 874360 983655 1049232 1311540 1398976 1573848 1748720 1967310 2098464 2623080 2797952 3147696 3497440 3934620 4196928 5246160 5595904 6295392 6994880 7869240 8393856 10492320 11191808 12590784 13989760 15738480 16787712 20984640 22383616 25181568 27979520 31476960 33575424 41969280 44767232 50363136 55959040 62953920 67150848 83938560 100726272 111918080 125907840 134301696 167877120 201452544 223836160 251815680 335754240 402905088 503631360 671508480 1007262720 2014525440