Search a number
-
+
14532485400 = 233452897067
BaseRepresentation
bin11011000100011010…
…00010000100011000
31101111210102202020000
431202031002010120
5214230304013100
610402013333000
71023062042046
oct154215020430
941453382200
1014532485400
116188233414
122996a97160
1314a7a292b4
149bc0c7396
155a0c66900
hex362342118

14532485400 has 120 divisors (see below), whose sum is σ = 50473531020. Its totient is φ = 3875325120.

The previous prime is 14532485333. The next prime is 14532485419. The reversal of 14532485400 is 458423541.

It is a happy number.

14532485400 is a `hidden beast` number, since 1 + 4 + 5 + 3 + 248 + 5 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×145324854002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 432334 + ... + 464733.

Almost surely, 214532485400 is an apocalyptic number.

14532485400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14532485400 is an abundant number, since it is smaller than the sum of its proper divisors (35941045620).

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

14532485400 is a wasteful number, since it uses less digits than its factorization.

14532485400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897095 (or 897077 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 14532485400 in words is "fourteen billion, five hundred thirty-two million, four hundred eighty-five thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 81 90 100 108 120 135 150 162 180 200 216 225 270 300 324 360 405 450 540 600 648 675 810 900 1080 1350 1620 1800 2025 2700 3240 4050 5400 8100 16200 897067 1794134 2691201 3588268 4485335 5382402 7176536 8073603 8970670 10764804 13456005 16147206 17941340 21529608 22426675 24220809 26912010 32294412 35882680 40368015 44853350 48441618 53824020 64588824 67280025 72662427 80736030 89706700 96883236 107648040 121104045 134560050 145324854 161472060 179413400 193766472 201840075 242208090 269120100 290649708 322944120 363312135 403680150 484416180 538240200 581299416 605520225 726624270 807360300 968832360 1211040450 1453248540 1614720600 1816560675 2422080900 2906497080 3633121350 4844161800 7266242700 14532485400