Search a number
-
+
214245303542412 = 223167491217736933
BaseRepresentation
bin110000101101101011011111…
…001101100110001010001100
31001002120122120120110002210120
4300231223133031212022030
5211040143340201324122
62035354533402504540
763061466226462642
oct6055533715461214
91032518516402716
10214245303542412
11622a0a1753907a
1220042212805150
1392713262b140c
143ac9756c59192
1519b802a80d75c
hexc2dadf36628c

214245303542412 has 48 divisors (see below), whose sum is σ = 503923392467712. Its totient is φ = 70842888195520.

The previous prime is 214245303542407. The next prime is 214245303542461.

214245303542412 is nontrivially palindromic in base 10.

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, 107884503 + ... + 109852430.

It is an arithmetic number, because the mean of its divisors is an integer number (10498404009744).

Almost surely, 2214245303542412 is an apocalyptic number.

It is an amenable number.

214245303542412 is an abundant number, since it is smaller than the sum of its proper divisors (289678088925300).

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

214245303542412 is a wasteful number, since it uses less digits than its factorization.

214245303542412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217737598 (or 217737596 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 42.

It can be divided in two parts, 21424530 and 3542412, that added together give a palindrome (24966942).

The spelling of 214245303542412 in words is "two hundred fourteen trillion, two hundred forty-five billion, three hundred three million, five hundred forty-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 167 334 491 501 668 982 1002 1473 1964 2004 2946 5892 81997 163994 245991 327988 491982 983964 217736933 435473866 653210799 870947732 1306421598 2612843196 36362067811 72724135622 106908834103 109086203433 145448271244 213817668206 218172406866 320726502309 427635336412 436344813732 641453004618 1282906009236 17853775295201 35707550590402 53561325885603 71415101180804 107122651771206 214245303542412